What is the answer to x/(x+6)=(72)/(x^2-36)+4 ?

The answer to x/(x+6)=(72)/(x^2-36)+4 is x=4

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x/(x+6)=(72)/(x^2-36)+4

\frac{x}{x + 6} = \frac{72}{x ^{2} - 36} + 4

x = 4

Solution steps

\frac{x}{x + 6} = \frac{72}{x ^{2} - 36} + 4

Multiply by LCM

x (x - 6) = 72 + 4 (x + 6) (x - 6)

Solve

x (x - 6) = 72 + 4 (x + 6) (x - 6) : x = - 6, x = 4

x = - 6, x = 4

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 6

Since the equation is undefined for:

- 6

x = 4

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

- \frac{7}{x - 9} - 7 = - \frac{3 x}{x - 9}

\frac{1}{x} + \frac{1}{x - 4} = \frac{10}{21}

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

4 - \frac{2}{x ^{2}} = 0

What is the answer to x/(x+6)=(72)/(x^2-36)+4 ?
The answer to x/(x+6)=(72)/(x^2-36)+4 is x=4
Solve for x: x/(x+6)=(72)/(x^2-36)+4
The solution is x=4