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

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

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

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

x = 6, x = - 4

Solution steps

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

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

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

1 + \frac{2}{x + 1} = \frac{3 x + 7}{x ^{2} + 10 x + 9}

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

\frac{6 x - 1}{3 x + 2} = \frac{2 x}{x - 1}

\frac{9}{4} - \frac{1}{2 x} = \frac{4}{x}

What is the answer to 1/x+1/(x+6)= 1/4 ?
The answer to 1/x+1/(x+6)= 1/4 is x=6,x=-4
Solve for x: 1/x+1/(x+6)= 1/4
The solution is x=6,x=-4