Algebra Examples

$\frac{3}{4} x^{2} - \frac{2}{3} x = \frac{3}{5}$

Step 1

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

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Step 1.1

Simplify the left side.

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Step 1.1.1

Simplify each term.

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Step 1.1.1.1

Combine $\frac{3}{4}$ and $x^{2}$ .

$\frac{3 x^{2}}{4} - \frac{2}{3} x = \frac{3}{5}$

Step 1.1.1.2

Combine $x$ and $\frac{2}{3}$ .

$\frac{3 x^{2}}{4} - \frac{x \cdot 2}{3} = \frac{3}{5}$

Step 1.1.1.3

Move $2$ to the left of $x$ .

$\frac{3 x^{2}}{4} - \frac{2 x}{3} = \frac{3}{5}$

Step 1.2

Subtract $\frac{3}{5}$ from both sides of the equation.

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

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.

$a = \frac{3}{4}$ , $b = - \frac{2}{3}$ , $c = - \frac{3}{5}$