Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14301	Solve for z	-2z^2-2=-28z	$- 2 z^{2} - 2 = - 28 z$
14302	Solve for z	2bz=5az+3	$2 b z = 5 a z + 3$
14303	Solve for z	4z^2+32z+4=0	$4 z^{2} + 32 z + 4 = 0$
14304	Solve for z	4x-5/y=2z	$4 x - \frac{5}{y} = 2 z$
14305	Solve for z	6z+4=6z-4	$6 z + 4 = 6 z - 4$
14306	Solve for z	-9+4z=4z-3-6	$- 9 + 4 z = 4 z - 3 - 6$
14307	Solve for z	a-az=2z	$a - a z = 2 z$
14308	Solve for z	cos(z)sin(z)=0	$\cos (z) \sin (z) = 0$
14309	Solve for z	r=(cz)/(c+z)	$r = \frac{c z}{c + z}$
14310	Solve for z	sin(2a)+icos(2a)=e^z	$\sin (2 a) + i \cos (2 a) = e^{z}$
14311	Solve for z	theta=1/3*(x-y+z)	$θ = \frac{1}{3} \cdot (x - y + z)$
14312	Solve for z	t=1/3*(x-y+z)	$t = \frac{1}{3} \cdot (x - y + z)$
14313	Solve for z	w=2zx+2zy	$w = 2 z x + 2 z y$
14314	Solve for z	x-y+3z=4	$x - y + 3 z = 4$
14315	Solve for z	(za)/2=z(0.02)	$\frac{z a}{2} = z (0.02)$
14316	Solve for z	z(2-3i)=z(3-2i)+3-2i	$z (2 - 3 i) = z (3 - 2 i) + 3 - 2 i$
14317	Solve for z	z=0.25(0)+0.80(0)	$z = 0.25 (0) + 0.8 (0)$
14318	Solve for z	z=0.25(7)+0.80(7)	$z = 0.25 (7) + 0.8 (7)$
14319	Solve for z	z=(0.290-0.30)/( square root of ((0.30)(0.70))/410)	$z = \frac{0.29 - 0.3}{\sqrt{\frac{(0.3) (0.7)}{410}}}$
14320	Solve for z	z=(5-i)/(3-2i)	$z = \frac{5 - i}{3 - 2 i}$
14321	Solve for z	z = square root of 40^2+30^2	$z = \sqrt{40^{2} + 30^{2}}$
14322	Solve for Z	Z=0.20(3)+0.75(7)	$Z = 0.2 (3) + 0.75 (7)$
14323	Solve for z	z=0+5(5)	$z = 0 + 5 (5)$
14324	Solve for z	z=-1.2-0.7	$z = - 1.2 - 0.7$
14325	Solve for z	z=10x+20y	$z = 10 x + 20 y$
14326	Solve for z	z=15(2)+6(15)	$z = 15 (2) + 6 (15)$
14327	Solve for z	z=15(7)+6(10)	$z = 15 (7) + 6 (10)$
14328	Solve for y	y=4.9x^2	$y = 4.9 x^{2}$
14329	Solve for y	y=(500000(0.055/12))/((1+0.055/12)^120-1)	$y = \frac{500000 (\frac{0.055}{12})}{{(1 + \frac{0.055}{12})}^{120} - 1}$
14330	Solve for y	y=5000000000000(1)-4000000000	$y = 5000000000000 (1) - 4000000000$
14331	Solve for y	y=(2+4)/(2-7)	$y = \frac{2 + 4}{2 - 7}$
14332	Solve for y	y=(-29-(-15))/(15-8)	$y = \frac{- 29 - (- 15)}{15 - 8}$
14333	Solve for y	y=-3(0)^3	$y = - 3 {(0)}^{3}$
14334	Solve for y	y=-30/60x+18000/60	$y = - \frac{30}{60} x + \frac{18000}{60}$
14335	Solve for y	y=32^0.2	$y = 32^{0.2}$
14336	Solve for y	y=480/(12000*0.07)	$y = \frac{480}{12000 \cdot 0.07}$
14337	Solve for y	y=(5(75))/9-160/9	$y = \frac{5 (75)}{9} - \frac{160}{9}$
14338	Solve for y	y=5/4x-1	$y = \frac{5}{4} x - 1$
14339	Solve for y	y=5/9*(x-32)	$y = \frac{5}{9} \cdot (x - 32)$
14340	Solve for y	y=(-5x)/2-47/2	$y = \frac{- 5 x}{2} - \frac{47}{2}$
14341	Solve for y	y=(7(70))/(100-70)	$y = \frac{7 (70)}{100 - 70}$
14342	Solve for y	y=7^0	$y = 7^{0}$
14343	Solve for y	y=-x^2-6x+15	$y = - x^{2} - 6 x + 15$
14344	Solve the Matrix Equation	[[1,1,1],[-2,i-1,-(i+1)],[4,(i-1)^2,(i+1)^2]]*[[x],[y],[z]]=[[0],[0],[1]]	$[\begin{array}{c} 1 & 1 & 1 \\ - 2 & i - 1 & - (i + 1) \\ 4 & {(i - 1)}^{2} & {(i + 1)}^{2} \end{array}] \cdot [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} 0 \\ 0 \\ 1 \end{array}]$
14345	Solve for y	y=0.40(126)+19	$y = 0.4 (126) + 19$
14346	Solve for y	y=1.4(7)+8.5	$y = 1.4 (7) + 8.5$
14347	Solve for y	y=(1000((1+0.08)^10-1))/0.08	$y = \frac{1000 ({(1 + 0.08)}^{10} - 1)}{0.08}$
14348	Solve for y	y=1200+6000	$y = 1200 + 6000$
14349	Solve for y	y=139x-35	$y = 139 x - 35$
14350	Solve for y	y=180(2.7)^(0.07(12))	$y = 180 {(2.7)}^{0.07 (12)}$
14351	Solve for y	y=19.4+0.93(59)	$y = 19.4 + 0.93 (59)$
14352	Solve for y	y=2(-2)+2	$y = 2 (- 2) + 2$
14353	Find the Number of Possibilities	50 permute 3	${}_{50}P_{3}$
14354	Solve for y	y=2x^2-12x+22	$y = 2 x^{2} - 12 x + 22$
14355	Solve for y	y=2÷(x^2)+1	$y = 2 \div x^{2} + 1$
14356	Solve for y	y=21	$y = 21$
14357	Solve for y	y=-3*-1-1	$y = - 3 \cdot - 1 - 1$
14358	Solve for y	y=3(x(x-5)+2)	$y = 3 (x (x - 5) + 2)$
14359	Solve for y	y=(300(1-(1+0.0375/12)^-120))/(0.0375/12)	$y = \frac{300 (1 - {(1 + \frac{0.0375}{12})}^{- 120})}{\frac{0.0375}{12}}$
14360	Solve for y	y=30000(1.08)^25	$y = 30000 {(1.08)}^{25}$
14361	Solve for y	y=(30000(0.0475/52))/((1+0.055/52)^364-1)	$y = \frac{30000 (\frac{0.0475}{52})}{{(1 + \frac{0.055}{52})}^{364} - 1}$
14362	Solve for y	y=3sin(4x)	$y = 3 \sin (4 x)$
14363	Solve for x	16x^2=56x-49	$16 x^{2} = 56 x - 49$
14364	Solve for x	16x^2-81=0	$16 x^{2} - 81 = 0$
14365	Solve for x	16x+18=15x+15	$16 x + 18 = 15 x + 15$
14366	Solve for x	18(1/3x+1/6x)=18*1	$18 (\frac{1}{3} x + \frac{1}{6} x) = 18 \cdot 1$
14367	Solve for x	2(3x-15)=6(x-5)	$2 (3 x - 15) = 6 (x - 5)$
14368	Solve for x	-2(7x-4)+3(5x-7)-7=3-4	$- 2 (7 x - 4) + 3 (5 x - 7) - 7 = 3 - 4$
14369	Solve for x	-2(x+6)+6x=4(x-3)	$- 2 (x + 6) + 6 x = 4 (x - 3)$
14370	Solve for x	2(x-3)(x+1)-(x-2)(x+4)=x(x-7)	$2 (x - 3) (x + 1) - (x - 2) (x + 4) = x (x - 7)$
14371	Solve for x	2(x-3)-3(x-2)=x+2-(x-4)	$2 (x - 3) - 3 (x - 2) = x + 2 - (x - 4)$
14372	Solve for x	2(x-a)+2b=3x+a	$2 (x - a) + 2 b = 3 x + a$
14373	Solve for x	square root of 2x+1- square root of 9+4x=-2	$\sqrt{2 x + 1} - \sqrt{9 + 4 x} = - 2$
14374	Solve for x	square root of 2x-7+8=11	$\sqrt{2 x - 7} + 8 = 11$
14375	Solve for x	square root of 3x+10=5-2x	$\sqrt{3 x + 10} = 5 - 2 x$
14376	Solve for x	square root of 3x+6 = square root of x+6+2	$\sqrt{3 x + 6} = \sqrt{x + 6} + 2$
14377	Solve for x	square root of 4x+7 = square root of x+1- square root of x+6	$\sqrt{4 x + 7} = \sqrt{x + 1} - \sqrt{x + 6}$
14378	Solve for x	square root of 5x+11=6	$\sqrt{5 x + 11} = 6$
14379	Solve for x	square root of x+150- square root of x+55=5	$\sqrt{x + 150} - \sqrt{x + 55} = 5$
14380	Solve for x	square root of x+3+ square root of x+14+ square root of x+3- square root of x+14=4	$\sqrt{x + 3 + \sqrt{x + 14}} + \sqrt{x + 3 - \sqrt{x + 14}} = 4$
14381	Solve for x	square root of x+5+7=12	$\sqrt{x + 5} + 7 = 12$
14382	Solve for x	square root of x-4=0	$\sqrt{x - 4} = 0$
14383	Solve for x	fourth root of -6^(x-2)=( sixth root of 4)/( square root of x)	$\sqrt[4]{- 6^{x - 2}} = \frac{\sqrt[6]{4}}{\sqrt{x}}$
14384	Solve for x	x/16-5/8=(x+6)/8	$\frac{x}{16} - \frac{5}{8} = \frac{x + 6}{8}$
14385	Solve for x	x/2=5/15	$\frac{x}{2} = \frac{5}{15}$
14386	Solve for x	x/3+5/4=10	$\frac{x}{3} + \frac{5}{4} = 10$
14387	Solve for x	x/420=86/84	$\frac{x}{420} = \frac{86}{84}$
14388	Solve for x	x/480=186/48	$\frac{x}{480} = \frac{186}{48}$
14389	Solve for x	(2x-5)/x+(4x-1)/(x+2)=-(3x+8)/(x^2+2x)	$\frac{2 x - 5}{x} + \frac{4 x - 1}{x + 2} = - \frac{3 x + 8}{x^{2} + 2 x}$
14390	Solve for x	3^(2x+1)-50=100	$3^{2 x + 1} - 50 = 100$
14391	Solve for x	3^(5x-5)=81	$3^{5 x - 5} = 81$
14392	Solve for x	3^(7-2x)=3^(3x-5)	$3^{7 - 2 x} = 3^{3 x - 5}$
14393	Solve for x	36^(x-7)=36	$36^{x - 7} = 36$
14394	Solve for x	-(3x)/2+(9x-5)/6=(11x+8)/x	$- \frac{3 x}{2} + \frac{9 x - 5}{6} = \frac{11 x + 8}{x}$
14395	Solve for x	3x^2-4x-32=0	$3 x^{2} - 4 x - 32 = 0$
14396	Solve for x	(3x+2)/5=7	$\frac{3 x + 2}{5} = 7$
14397	Solve for x	4/5x-7/10x=4	$\frac{4}{5} x - \frac{7}{10} x = 4$
14398	Solve for x	4/(x-7)=7/(x+6)	$\frac{4}{x - 7} = \frac{7}{x + 6}$
14399	Solve for x	4^(4-3x)=4^(9x-7)	$4^{4 - 3 x} = 4^{9 x - 7}$
14400	Solve for x	4^x=31	$4^{x} = 31$