What is the answer to 1-9/x =-8x ?

The answer to 1-9/x =-8x is x=-9/8 ,x=1

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1-9/x =-8x

1 - \frac{9}{x} = - 8 x

x = - \frac{9}{8}, x = 1

Decimal Notation

x = - 1.125, x = 1

Solution steps

1 - \frac{9}{x} = - 8 x

Multiply both sides by

x

x - 9 = - 8 x^{2}

Solve

x - 9 = - 8 x^{2} : x = - \frac{9}{8}, x = 1

x = - \frac{9}{8}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{9}{8}, x = 1

\frac{11}{x - 9} = \frac{11}{9}

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

- \frac{8 x}{( x ^{2} - 4 ) ^{2}} = 0

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

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