What is the answer to (x-3)/(x^2-9)=1 ?

The answer to (x-3)/(x^2-9)=1 is x=-2

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(x-3)/(x^2-9)=1

\frac{x - 3}{x ^{2} - 9} = 1

x = - 2

Solution steps

\frac{x - 3}{x ^{2} - 9} = 1

Simplify

\frac{x - 3}{x ^{2} - 9} : \frac{1}{x + 3}

\frac{1}{x + 3} = 1

Multiply both sides by

x + 3

1 = x + 3

Switch sides

x + 3 = 1

Move

3

to the right side

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x = - 2

\frac{3}{x} = 9

\frac{5}{x - 3} - \frac{2}{x - 2} = 11

0 = \frac{2 x + 1}{x}

\frac{2 x - 7}{x} = \frac{x - 3}{4}

\frac{2}{x - 1} = \frac{5}{x}