What is the answer to 8/x =2x-6 ?

The answer to 8/x =2x-6 is x=4,x=-1

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8/x =2x-6

\frac{8}{x} = 2 x - 6

x = 4, x = - 1

Solution steps

\frac{8}{x} = 2 x - 6

Multiply both sides by

x

8 = 2 x^{2} - 6 x

Solve

8 = 2 x^{2} - 6 x : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 1

\frac{3}{7 w} + \frac{2}{5 w} = 1

\frac{10}{2 x - 3} = x - 1

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

\frac{4 x + 8}{3} - \frac{4}{x} = 0

x + 1 = \frac{72}{x}