What is the answer to 2/x = x/(5x-12) ?

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

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2/x = x/(5x-12)

\frac{2}{x} = \frac{x}{5 x - 12}

x = 6, x = 4

Solution steps

\frac{2}{x} = \frac{x}{5 x - 12}

Cross multiply

2 (5 x - 12) = x^{2}

Solve

2 (5 x - 12) = x^{2} : x = 6, x = 4

x = 6, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = \frac{12}{5}

Combine undefined points with solutions:

x = 6, x = 4

\frac{x ^{2} + 4 x}{x + 2} = \frac{2 x}{3}

135 = \frac{180 ( x - 2 )}{x}

\frac{3 x ^{2} + a x + a + 3}{x ^{2} + x - 2}

1 + \frac{2}{x - 8} = \frac{2 x}{x ^{2} - x - 56}

\frac{1}{5500} = \frac{0.1}{x}

What is the answer to 2/x = x/(5x-12) ?
The answer to 2/x = x/(5x-12) is x=6,x=4
Solve for x: 2/x = x/(5x-12)
The solution is x=6,x=4