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

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

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x/3-6/x =1

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

x = 6, x = - 3

Solution steps

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

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{1}{15} + \frac{1}{21} = \frac{1}{x}

\frac{x + 1}{x} = 5

\frac{8}{x} - x = 4

\frac{3}{n} - \frac{1}{2} = \frac{n - 5}{n}

x + \frac{6}{x} = 18