What is the answer to 6/x =(3x)/8 ?

The answer to 6/x =(3x)/8 is x=4,x=-4

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6/x =(3x)/8

\frac{6}{x} = \frac{3 x}{8}

x = 4, x = - 4

Solution steps

\frac{6}{x} = \frac{3 x}{8}

Cross multiply

48 = 3 x^{2}

Solve

48 = 3 x^{2} : x = 4, x = - 4

x = 4, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 4

\frac{15}{x - 4} = \frac{9}{x}

\frac{45}{x - 14} = 22

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

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

\frac{x - 8}{n - 10} = \frac{n}{x}