What is the answer to (5x+84)/x =x ?

The answer to (5x+84)/x =x is x=12,x=-7

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(5x+84)/x =x

\frac{5 x + 84}{x} = x

x = 12, x = - 7

Solution steps

\frac{5 x + 84}{x} = x

Multiply both sides by

x

5 x + 84 = x^{2}

Solve

5 x + 84 = x^{2} : x = 12, x = - 7

x = 12, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 12, x = - 7

\frac{3}{x} = 50

\frac{( y - 5 )}{y} - \frac{5}{4} = 0

- \frac{1}{3} + \frac{8}{3 x} = - 1

\frac{n}{n - 4} = - \frac{32}{7}

\frac{1}{8} = \frac{1}{1 - c ( 2 )}