What is the answer to 8/(x+9)=-2/9 ?

The answer to 8/(x+9)=-2/9 is x=-45

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8/(x+9)=-2/9

\frac{8}{x + 9} = - \frac{2}{9}

x = - 45

Solution steps

\frac{8}{x + 9} = - \frac{2}{9}

Cross multiply

72 = - (x + 9) \cdot 2

Switch sides

- (x + 9) \cdot 2 = 72

Divide both sides by

- 2

x + 9 = - 36

Move

9

to the right side

x = - 45

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - 45

\frac{232}{x + 21} = 50

1 + \frac{7}{x - 4} = \frac{5}{x ^{2} + 3 x - 28}

\frac{18}{x} = x - 3

26 - \frac{1}{x ^{2}} = 0

\frac{7 x - 3}{5 x + 12} = \frac{4 x - 1}{3 x + 4}