What is the answer to (3x+18)/x =x ?

The answer to (3x+18)/x =x is x=6,x=-3

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(3x+18)/x =x

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

x = 6, x = - 3

Solution steps

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

Multiply both sides by

x

3 x + 18 = x^{2}

Solve

3 x + 18 = x^{2} : x = 6, x = - 3

x = 6, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 3

0.1 = \frac{1}{1 + k}

52 = - \frac{8}{x}

\frac{- 22 + 3 x}{3 x + 7} = 2

\frac{48}{x} = \frac{12}{5}

\frac{1}{2 m ^{2}} = - \frac{1}{2}