What is the answer to 4/x-5/3 = x/6 ?

The answer to 4/x-5/3 = x/6 is x=2,x=-12

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4/x-5/3 = x/6

\frac{4}{x} - \frac{5}{3} = \frac{x}{6}

x = 2, x = - 12

Solution steps

\frac{4}{x} - \frac{5}{3} = \frac{x}{6}

Multiply by LCM

24 - 10 x = x^{2}

Solve

24 - 10 x = x^{2} : x = 2, x = - 12

x = 2, x = - 12

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 12

\frac{x - 5}{4} + \frac{5}{x + 2} = \frac{7}{2}

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

\frac{1}{x + 1} = \frac{1}{1.3}

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

D, 8 = \frac{b}{D}