What is the answer to 1-3/x =-x/(x+2) ?

The answer to 1-3/x =-x/(x+2) is x=2,x=-3/2

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1-3/x =-x/(x+2)

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

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

Decimal Notation

x = 2, x = - 1.5

Solution steps

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

Multiply by LCM

x (x + 2) - 3 (x + 2) = - x^{2}

Solve

x (x + 2) - 3 (x + 2) = - x^{2} : x = 2, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

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

x - \frac{7}{x + 8} = 2 x

- 3 - \frac{x}{x + 8} = \frac{8}{x + 8}

6 - \frac{2}{x ^{2}} = 0

\frac{- 10 x}{x ^{2} + 25} = 1

\frac{x ^{2}}{x - 1} = 4

What is the answer to 1-3/x =-x/(x+2) ?
The answer to 1-3/x =-x/(x+2) is x=2,x=-3/2
Solve for x: 1-3/x =-x/(x+2)
The solution is x=2,x=-3/2