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

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

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1/x+7x=-8

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

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

Solution steps

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

Multiply both sides by

x

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2}{7} = \frac{10}{t + 5}

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

3 x + \frac{54}{2 x + 3} = 18

100 x^{- 4} - 29 x^{- 2} + 1 = 0

x, \frac{m}{x} = p + n