Algebra Examples

$\frac{1}{8 (12 - 5 x) + 3}$

Step 1

Simplify the denominator.

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Step 1.1

Apply the distributive property.

$\frac{1}{8 \cdot 12 + 8 (- 5 x) + 3}$

Step 1.2

Multiply $8$ by $12$ .

$\frac{1}{96 + 8 (- 5 x) + 3}$

Step 1.3

Multiply $- 5$ by $8$ .

$\frac{1}{96 - 40 x + 3}$

Step 1.4

Add $96$ and $3$ .

$\frac{1}{- 40 x + 99}$

$\frac{1}{- 40 x + 99}$

Step 2

Simplify with factoring out.

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Step 2.1

Factor $- 1$ out of $- 40 x$ .

$\frac{1}{- (40 x) + 99}$

Step 2.2

Rewrite $99$ as $- 1 (- 99)$ .

$\frac{1}{- (40 x) - 1 (- 99)}$

Step 2.3

Factor $- 1$ out of $- (40 x) - 1 (- 99)$ .

$\frac{1}{- (40 x - 99)}$

Step 2.4

Rewrite negatives.

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Step 2.4.1

Rewrite $- (40 x - 99)$ as $- 1 (40 x - 99)$ .

$\frac{1}{- 1 (40 x - 99)}$

Step 2.4.2

Move the negative in front of the fraction.

$- \frac{1}{40 x - 99}$

$- \frac{1}{40 x - 99}$

$- \frac{1}{40 x - 99}$

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