What is the answer to x/6-3/x = 1/2 ?

The answer to x/6-3/x = 1/2 is x=6,x=-3

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x/6-3/x = 1/2

\frac{x}{6} - \frac{3}{x} = \frac{1}{2}

x = 6, x = - 3

Solution steps

\frac{x}{6} - \frac{3}{x} = \frac{1}{2}

Multiply by LCM

x^{2} - 18 = 3 x

Solve

x^{2} - 18 = 3 x : 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

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

\frac{4}{( ∣ x + 1 ∣ - 2 )} = ∣ x + 1 ∣

a = \frac{2 m}{s ^{2}}

\frac{1}{( x ^{2} - 10 x - 29 )} + \frac{1}{( x ^{2} - 10 x - 45 )} - \frac{2}{( x ^{2} - 10 x - 69 )} = 0

\frac{x}{( x - 1 )} - \frac{2}{( x + 1 )} = \frac{4}{( x ^{2} - 1 )}