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

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

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

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

x = 1

Solution steps

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

Multiply by LCM

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

Solve

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

F, M = \frac{d}{F}

1 + \frac{5}{x - 2} = \frac{2}{x ^{2} - 4}

\frac{2}{x} - \frac{x + 1}{5} = - \frac{4}{5}

1 + \frac{5}{x + 5} = - \frac{9 x}{x + 5}

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

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