Precalculus Examples

$\frac{5 (- x) + 7}{9 (- x) - 7}$

Step 1

Multiply.

Tap for more steps...

Step 1.1

Multiply $- 1$ by $5$ .

$\frac{- 5 x + 7}{9 (- x) - 7}$

Step 1.2

Multiply $- 1$ by $9$ .

$\frac{- 5 x + 7}{- 9 x - 7}$

$\frac{- 5 x + 7}{- 9 x - 7}$

Step 2

Factor $- 1$ out of $- 5 x$ .

$\frac{- (5 x) + 7}{- 9 x - 7}$

Step 3

Rewrite $7$ as $- 1 (- 7)$ .

$\frac{- (5 x) - 1 (- 7)}{- 9 x - 7}$

Step 4

Factor $- 1$ out of $- (5 x) - 1 (- 7)$ .

$\frac{- (5 x - 7)}{- 9 x - 7}$

Step 5

Rewrite $- (5 x - 7)$ as $- 1 (5 x - 7)$ .

$\frac{- 1 (5 x - 7)}{- 9 x - 7}$

Step 6

Factor $- 1$ out of $- 9 x$ .

$\frac{- 1 (5 x - 7)}{- (9 x) - 7}$

Step 7

Rewrite $- 7$ as $- 1 (7)$ .

$\frac{- 1 (5 x - 7)}{- (9 x) - 1 (7)}$

Step 8

Factor $- 1$ out of $- (9 x) - 1 (7)$ .

$\frac{- 1 (5 x - 7)}{- (9 x + 7)}$

Step 9

Rewrite $- (9 x + 7)$ as $- 1 (9 x + 7)$ .

$\frac{- 1 (5 x - 7)}{- 1 (9 x + 7)}$

Step 10

Cancel the common factor.

$\frac{- 1 (5 x - 7)}{- 1 (9 x + 7)}$

Step 11

Rewrite the expression.

$\frac{5 x - 7}{9 x + 7}$

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