Algebra Examples

$x^{2} - x + 3 = 4 x^{2} - 5$

Step 1

Move all terms to the left side of the equation and simplify.

Tap for more steps...

Step 1.1

Move all the expressions to the left side of the equation.

Tap for more steps...

Step 1.1.1

Subtract $4 x^{2}$ from both sides of the equation.

$x^{2} - x + 3 - 4 x^{2} = - 5$

Step 1.1.2

Add $5$ to both sides of the equation.

$x^{2} - x + 3 - 4 x^{2} + 5 = 0$

Step 1.2

Simplify $x^{2} - x + 3 - 4 x^{2} + 5$ .

Tap for more steps...

Step 1.2.1

Subtract $4 x^{2}$ from $x^{2}$ .

$- 3 x^{2} - x + 3 + 5 = 0$

Step 1.2.2

Add $3$ and $5$ .

$- 3 x^{2} - x + 8 = 0$

Step 2

Once the quadratic is in standard form, the values of $a$ , $b$ , and $c$ can be found.

$a x^{2} + b x + c$

Step 3

Use the standard form of the equation to find $a$ , $b$ , and $c$ for this quadratic.

$a = - 3$ , $b = - 1$ , $c = 8$