What is the answer to 7-1/x =-8x ?

The answer to 7-1/x =-8x is x=-1,x= 1/8

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7-1/x =-8x

7 - \frac{1}{x} = - 8 x

x = - 1, x = \frac{1}{8}

Decimal

x = - 1, x = 0.125

Solution steps

7 - \frac{1}{x} = - 8 x

Multiply both sides by

x

7 x - 1 = - 8 x^{2}

Solve

7 x - 1 = - 8 x^{2} : x = - 1, x = \frac{1}{8}

x = - 1, x = \frac{1}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1, x = \frac{1}{8}

\frac{3 a}{2 a + 1} - \frac{4}{2 a - 1} = 1

\frac{5}{x} - 2 = \frac{2}{x + 3}

\frac{13}{x} = 10 - x

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

\frac{10 x ^{2} - 5 x + 8}{5 x ^{2} + 9 x - 19} = 2