Solve by Factoring m/(m-8)-9=8/(m-8)

$\frac{m}{m - 8} - 9 = \frac{8}{m - 8}$

Step 1

Subtract $\frac{8}{m - 8}$ from both sides of the equation.

$\frac{m}{m - 8} - 9 - \frac{8}{m - 8} = 0$

Step 2

Simplify $\frac{m}{m - 8} - 9 - \frac{8}{m - 8}$ .

Find the common denominator.

Write $- 9$ as a fraction with denominator $1$ .

$\frac{m}{m - 8} + \frac{- 9}{1} - \frac{8}{m - 8} = 0$

Multiply $\frac{- 9}{1}$ by $\frac{m - 8}{m - 8}$ .

$\frac{m}{m - 8} + \frac{- 9}{1} \cdot \frac{m - 8}{m - 8} - \frac{8}{m - 8} = 0$

Multiply $\frac{- 9}{1}$ by $\frac{m - 8}{m - 8}$ .

$\frac{m}{m - 8} + \frac{- 9 (m - 8)}{m - 8} - \frac{8}{m - 8} = 0$

Combine the numerators over the common denominator.

$\frac{m - 9 (m - 8) - 8}{m - 8} = 0$

Simplify each term.

Apply the distributive property.

$\frac{m - 9 m - 9 \cdot - 8 - 8}{m - 8} = 0$

Multiply $- 9$ by $- 8$ .

$\frac{m - 9 m + 72 - 8}{m - 8} = 0$

Subtract $9 m$ from $m$ .

$\frac{- 8 m + 72 - 8}{m - 8} = 0$

Subtract $8$ from $72$ .

$\frac{- 8 m + 64}{m - 8} = 0$

Factor $8$ out of $- 8 m + 64$ .

Factor $8$ out of $- 8 m$ .

$\frac{8 (- m) + 64}{m - 8} = 0$

Factor $8$ out of $64$ .

$\frac{8 (- m) + 8 (8)}{m - 8} = 0$

Factor $8$ out of $8 (- m) + 8 (8)$ .

$\frac{8 (- m + 8)}{m - 8} = 0$

Cancel the common factor of $- m + 8$ and $m - 8$ .

Factor $- 1$ out of $- m$ .

$\frac{8 (- (m) + 8)}{m - 8} = 0$

Rewrite $8$ as $- 1 (- 8)$ .

$\frac{8 (- (m) - 1 (- 8))}{m - 8} = 0$

Factor $- 1$ out of $- (m) - 1 (- 8)$ .

$\frac{8 (- (m - 8))}{m - 8} = 0$

Rewrite $- (m - 8)$ as $- 1 (m - 8)$ .

$\frac{8 (- 1 (m - 8))}{m - 8} = 0$

Cancel the common factor.

$\frac{8 (- 1 (m - 8))}{m - 8} = 0$

Divide $8 \cdot (- 1)$ by $1$ .

$8 \cdot (- 1) = 0$

Multiply $8$ by $- 1$ .

$- 8 = 0$

Step 3

Since $- 8 \neq 0$ , there are no solutions.

No solution

Solve by Factoring m/(m-8)-9=8/(m-8)

Related Questions

Support LCMGCF.com by disabling your adblocker.