What is the answer to (x+1)/(x-2)+(2x)/(x+2)+2=0 ?

The answer to (x+1)/(x-2)+(2x)/(x+2)+2=0 is x= 6/5 ,x=-1

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(x+1)/(x-2)+(2x)/(x+2)+2=0

\frac{x + 1}{x - 2} + \frac{2 x}{x + 2} + 2 = 0

x = \frac{6}{5}, x = - 1

Decimal Notation

x = 1.2, x = - 1

Solution steps

\frac{x + 1}{x - 2} + \frac{2 x}{x + 2} + 2 = 0

Multiply by LCM

(x + 1) (x + 2) + 2 x (x - 2) + 2 (x - 2) (x + 2) = 0

Solve

(x + 1) (x + 2) + 2 x (x - 2) + 2 (x - 2) (x + 2) = 0 : x = \frac{6}{5}, x = - 1

x = \frac{6}{5}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = \frac{6}{5}, x = - 1

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

\frac{r - 4}{3 r} = \frac{1}{5 r} + 1

\frac{7}{x} = \frac{2}{3}

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

\frac{3}{( 1 - n )} = 5

What is the answer to (x+1)/(x-2)+(2x)/(x+2)+2=0 ?
The answer to (x+1)/(x-2)+(2x)/(x+2)+2=0 is x= 6/5 ,x=-1
Solve for x: (x+1)/(x-2)+(2x)/(x+2)+2=0
The solution is x= 6/5 ,x=-1