What is the answer to 1/(q+4)-2/(q-2)=1 ?

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

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1/(q+4)-2/(q-2)=1

\frac{1}{q + 4} - \frac{2}{q - 2} = 1

q = - 1, q = - 2

Solution steps

\frac{1}{q + 4} - \frac{2}{q - 2} = 1

Multiply by LCM

q - 2 - 2 (q + 4) = (q + 4) (q - 2)

Solve

q - 2 - 2 (q + 4) = (q + 4) (q - 2) : q = - 1, q = - 2

q = - 1, q = - 2

Verify Solutions

Find undefined (singularity) points:

q = - 4, q = 2

Combine undefined points with solutions:

q = - 1, q = - 2

3 x^{- 3} = 81

\frac{1}{x} = c - \frac{1}{a}

y, x = \frac{19}{y}

324 = 16 x + 64 + \frac{64}{x}

\frac{6 x + 19}{2 x} = x + \frac{2}{5}

What is the answer to 1/(q+4)-2/(q-2)=1 ?
The answer to 1/(q+4)-2/(q-2)=1 is q=-1,q=-2
Solve for q: 1/(q+4)-2/(q-2)=1
The solution is q=-1,q=-2