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

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

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solvefor x,x-1=(-2x)/(x+1)

solve for

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

x = - 1 + 2, x = - 1 - 2

Decimal Notation

x = 0.41421 \dots, x = - 2.41421 \dots

Solution steps

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

Simplify

\frac{- 2 x}{x + 1} : - \frac{2 x}{x + 1}

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

Multiply both sides by

x + 1

x (x + 1) - (x + 1) = - 2 x

Solve

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

x = - 1 + 2, x = - 1 - 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - 1 + 2, x = - 1 - 2

\frac{x}{8} - \frac{2}{x} = 0

x = 1 + \frac{30}{x}

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

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

\frac{1}{12} = \frac{2}{x}

What is the answer to solvefor x,x-1=(-2x)/(x+1) ?
The answer to solvefor x,x-1=(-2x)/(x+1) is x=-1+sqrt(2),x=-1-sqrt(2)