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

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

Solve for x: x/(x+2)+2/(x-2)=-2

The solution is x= 2/(sqrt(3)),x=-2/(sqrt(3))

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

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

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Combine undefined points with solutions:

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

\frac{3}{x - 1} = \frac{4}{x + 2}

- \frac{3}{x} = \frac{x}{5 x + 18}

\frac{16}{x + 3} + \frac{7}{x - 2} = 3

\frac{a}{x} = b

P = \frac{W}{t}, t

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