What is the answer to 1/(x+6)+(12)/(x^2-36)=1 ?

The answer to 1/(x+6)+(12)/(x^2-36)=1 is x=7

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1/(x+6)+(12)/(x^2-36)=1

\frac{1}{x + 6} + \frac{12}{x ^{2} - 36} = 1

x = 7

Solution steps

\frac{1}{x + 6} + \frac{12}{x ^{2} - 36} = 1

Multiply by LCM

x + 6 = (x + 6) (x - 6)

Solve

x + 6 = (x + 6) (x - 6) : x = 7, x = - 6

x = 7, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 6

Since the equation is undefined for:

- 6

x = 7

\frac{y}{4} = \frac{9}{y}

\frac{b}{a x - 1} - \frac{a}{b x - 1} = 0

6 (1 - x^{2})^{- 1} + 3 (1 - x)^{- 1} = 5 (x + 1)^{- 1}

\frac{3}{5} + \frac{7}{6 x} = \frac{1}{8 x}

\frac{1}{x} = \frac{2}{5 x} - \frac{6}{5}

What is the answer to 1/(x+6)+(12)/(x^2-36)=1 ?
The answer to 1/(x+6)+(12)/(x^2-36)=1 is x=7
Solve for x: 1/(x+6)+(12)/(x^2-36)=1
The solution is x=7