Algebra Examples

$f (- 8) = \frac{11 (x - 24)}{2}$

Step 1

Divide each term in $f (- 8) = \frac{11 (x - 24)}{2}$ by $- 8$ .

$\frac{f \cdot - 8}{- 8} = \frac{\frac{11 (x - 24)}{2}}{- 8}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 8$ .

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Step 2.1.1

Cancel the common factor.

$\frac{f \cdot - 8}{- 8} = \frac{\frac{11 (x - 24)}{2}}{- 8}$

Step 2.1.2

Divide $f$ by $1$ .

$f = \frac{\frac{11 (x - 24)}{2}}{- 8}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$f = \frac{11 (x - 24)}{2} \cdot \frac{1}{- 8}$

Step 3.2

Move the negative in front of the fraction.

$f = \frac{11 (x - 24)}{2} (- \frac{1}{8})$

Step 3.3

Multiply $\frac{11 (x - 24)}{2} (- \frac{1}{8})$ .

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Step 3.3.1

Multiply $\frac{11 (x - 24)}{2}$ by $\frac{1}{8}$ .

$f = - \frac{11 (x - 24)}{2 \cdot 8}$

Step 3.3.2

Multiply $2$ by $8$ .

$f = - \frac{11 (x - 24)}{16}$