What is the answer to -9/x+2x=-7 ?

The answer to -9/x+2x=-7 is x=1,x=-9/2

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-9/x+2x=-7

- \frac{9}{x} + 2 x = - 7

x = 1, x = - \frac{9}{2}

Decimal Notation

x = 1, x = - 4.5

Solution steps

- \frac{9}{x} + 2 x = - 7

Multiply both sides by

x

- 9 + 2 x^{2} = - 7 x

Solve

- 9 + 2 x^{2} = - 7 x : x = 1, x = - \frac{9}{2}

x = 1, x = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{9}{2}

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

x + \frac{9}{x} = - 10

\frac{u + 2}{3 u - 1} + 1 = \frac{6 - u}{u + 1}

\frac{1}{x ^{2}} + \frac{3}{x} - 10 = 0

\frac{50}{x + 5} = \frac{x}{10} + 4.5