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

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

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x-6/x =-1

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

x = 2, x = - 3

Solution steps

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

Multiply both sides by

x

x^{2} - 6 = - x

Solve

x^{2} - 6 = - x : x = 2, x = - 3

x = 2, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 3

\frac{2}{x + 1} + 5 = \frac{1}{x}

\frac{x}{7 - 2 x} = 6

\frac{10}{x} - \frac{12}{x - 3} + 4 = 0

\frac{1}{x + 2} + \frac{24}{x + 3} = 13

\frac{2}{3 x} = \frac{1}{9}