What is the answer to 1-4/(x^2+2x)=-x/(x+2) ?

The answer to 1-4/(x^2+2x)=-x/(x+2) is x=1

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1-4/(x^2+2x)=-x/(x+2)

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

x = 1

Solution steps

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

Multiply by LCM

x (x + 2) - 4 = - x^{2}

Solve

x (x + 2) - 4 = - x^{2} : x = 1, x = - 2

x = 1, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Since the equation is undefined for:

- 2

x = 1

y^{9} \times (y^{2})^{- 1} y = - 2

q, 4 q + 80 = 2 q + 80 + \frac{3200}{q}

\frac{60}{( - x )} = 4

\frac{x}{4} = \frac{9}{4 x}

\frac{x}{x - 2} + x = \frac{3 x + 15}{4}

What is the answer to 1-4/(x^2+2x)=-x/(x+2) ?
The answer to 1-4/(x^2+2x)=-x/(x+2) is x=1
Solve for x: 1-4/(x^2+2x)=-x/(x+2)
The solution is x=1