What is the answer to (x-4)/9 = 1/(x+4) ?

The answer to (x-4)/9 = 1/(x+4) is x=5,x=-5

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(x-4)/9 = 1/(x+4)

\frac{x - 4}{9} = \frac{1}{x + 4}

x = 5, x = - 5

Solution steps

\frac{x - 4}{9} = \frac{1}{x + 4}

Cross multiply

(x - 4) (x + 4) = 9

Solve

(x - 4) (x + 4) = 9 : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 5, x = - 5

\frac{3}{y} = \frac{5}{8}

\frac{1}{x} = \frac{16}{9 x} + 7

x - \frac{1}{x} = 5

5 + A = \frac{A ^{3} + 1}{A ^{2} + 1}

r, S = \frac{a _{1}}{1 - r}

What is the answer to (x-4)/9 = 1/(x+4) ?
The answer to (x-4)/9 = 1/(x+4) is x=5,x=-5
Solve for x: (x-4)/9 = 1/(x+4)
The solution is x=5,x=-5