Algebra Examples

$f (- 2) = \frac{24}{3 (- 2) - 2}$

Step 1

Cancel the common factor of $24$ and $3 (- 2) - 2$ .

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Step 1.1

Factor $2$ out of $24$ .

$f (- 2) = \frac{2 (12)}{3 (- 2) - 2}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $3 (- 2)$ .

$f (- 2) = \frac{2 (12)}{2 (3 \cdot (- 1)) - 2}$

Step 1.2.2

Factor $2$ out of $- 2$ .

$f (- 2) = \frac{2 \cdot 12}{2 (3 \cdot (- 1)) + 2 \cdot - 1}$

Step 1.2.3

Factor $2$ out of $2 (3 \cdot (- 1)) + 2 (- 1)$ .

$f (- 2) = \frac{2 (12)}{2 (3 \cdot (- 1) - 1)}$

Step 1.2.4

Cancel the common factor.

$f (- 2) = \frac{2 \cdot 12}{2 (3 \cdot (- 1) - 1)}$

Step 1.2.5

Rewrite the expression.

$f (- 2) = \frac{12}{3 \cdot (- 1) - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $3$ by $- 1$ .

$f (- 2) = \frac{12}{- 3 - 1}$

Step 2.2

Subtract $1$ from $- 3$ .

$f (- 2) = \frac{12}{- 4}$

Step 3

Divide $12$ by $- 4$ .

$f (- 2) = - 3$