Algebra Examples

$\frac{1}{3} x - 4 = x^{2}$

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

Combine $\frac{1}{3}$ and $x$ .

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

Step 1.2

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

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

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.

$a = - 1$ , $b = \frac{1}{3}$ , $c = - 4$