Algebra Examples

$f (x) = 4 {(- 3)}^{2} - (- 3) - 3$

Step 1

Simplify $4 {(- 3)}^{2} - (- 3) - 3$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Raise $- 3$ to the power of $2$ .

$f (x) = 4 \cdot 9 - (- 3) - 3$

Step 1.1.2

Multiply $4$ by $9$ .

$f (x) = 36 - (- 3) - 3$

Step 1.1.3

Multiply $- 1$ by $- 3$ .

$f (x) = 36 + 3 - 3$

$f (x) = 36 + 3 - 3$

Step 1.2

Simplify by adding and subtracting.

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Step 1.2.1

Add $36$ and $3$ .

$f (x) = 39 - 3$

Step 1.2.2

Subtract $3$ from $39$ .

$f (x) = 36$

$f (x) = 36$

$f (x) = 36$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = 36 - f (x)$

Step 3

Rewrite the equation as $36 - f (x) = 0$ .

$36 - f (x) = 0$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$