What is the answer to (10-3x)/x =x ?

The answer to (10-3x)/x =x is x=2,x=-5

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(10-3x)/x =x

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

x = 2, x = - 5

Solution steps

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

Multiply both sides by

x

10 - 3 x = x^{2}

Solve

10 - 3 x = x^{2} : x = 2, x = - 5

x = 2, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 5

\frac{3 x ^{2} + 2 x}{5 x ^{2} - 3} = 0

\frac{3}{3 x - 2} = \frac{14}{9 x - 6}

\frac{x - 3}{x} = \frac{x + 7}{x + 4}

\frac{4}{x - 4} = 7 + \frac{x}{x - 4}

- 3 = \frac{5 x}{x ^{2} - 4}