What is the answer to 4/x+8/(x+2)=4 ?

The answer to 4/x+8/(x+2)=4 is x=2,x=-1

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4/x+8/(x+2)=4

\frac{4}{x} + \frac{8}{x + 2} = 4

x = 2, x = - 1

Solution steps

\frac{4}{x} + \frac{8}{x + 2} = 4

Multiply by LCM

4 (x + 2) + 8 x = 4 x (x + 2)

Solve

4 (x + 2) + 8 x = 4 x (x + 2) : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 2, x = - 1

10 + \frac{3 x}{x - 4} = \frac{5 x}{x - 4}

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

\frac{2}{x} = \frac{4}{10}

\frac{1}{x} - \frac{2}{x - 3} = 4

y, y - \frac{1}{x} = 11