What is the answer to 4/x+4/(x+6)=1 ?

The answer to 4/x+4/(x+6)=1 is x=6,x=-4

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4/x+4/(x+6)=1

\frac{4}{x} + \frac{4}{x + 6} = 1

x = 6, x = - 4

Solution steps

\frac{4}{x} + \frac{4}{x + 6} = 1

Multiply by LCM

4 (x + 6) + 4 x = x (x + 6)

Solve

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

x = 6, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 6

Combine undefined points with solutions:

x = 6, x = - 4

8 x^{- 4} - 6 x^{- 2} + 1 = 0

\frac{3}{4 n - 1} = \frac{2}{2 n - 5}

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

\frac{1}{x - 2} + 5 = \frac{21}{x - 2}

\frac{x ^{2}}{x ^{2} - 1} = 0