What is the answer to 2/((x-1))=x ?

The answer to 2/((x-1))=x is x=2,x=-1

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2/((x-1))=x

\frac{2}{( x - 1 )} = x

x = 2, x = - 1

Solution steps

\frac{2}{( x - 1 )} = x

Simplify

\frac{2}{( x - 1 )} : \frac{2}{x - 1}

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

Multiply both sides by

x - 1

2 = x (x - 1)

Solve

2 = x (x - 1) : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2, x = - 1

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

4 x^{- 2} - 15 x^{- 1} - 4 = 0

\frac{2}{2 x - 1} = \frac{- 2}{5 x + 3}

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

\frac{5}{y} + \frac{4}{y} = 3