What is the answer to x/(x+4)=(32)/(x^2-16)+6 ?

The answer to x/(x+4)=(32)/(x^2-16)+6 is x= 16/5

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x/(x+4)=(32)/(x^2-16)+6

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 6

x = \frac{16}{5}

Decimal Notation

x = 3.2

Solution steps

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 6

Multiply by LCM

x (x - 4) = 32 + 6 (x + 4) (x - 4)

Solve

x (x - 4) = 32 + 6 (x + 4) (x - 4) : x = - 4, x = \frac{16}{5}

x = - 4, x = \frac{16}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 4

Since the equation is undefined for:

- 4

x = \frac{16}{5}

0.02 = \frac{1}{x}

\frac{13 x}{2 x ^{2} - 7} = 1

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

\frac{8 x}{( x ^{2} + 1 ) ^{2}} = 0

\frac{3}{5 x - 20} = 70

What is the answer to x/(x+4)=(32)/(x^2-16)+6 ?
The answer to x/(x+4)=(32)/(x^2-16)+6 is x= 16/5
Solve for x: x/(x+4)=(32)/(x^2-16)+6
The solution is x= 16/5