What is the answer to 5/(x+2)+3/(x^2+2x)=2 ?

The answer to 5/(x+2)+3/(x^2+2x)=2 is x= 3/2 ,x=-1

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5/(x+2)+3/(x^2+2x)=2

\frac{5}{x + 2} + \frac{3}{x ^{2} + 2 x} = 2

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

Decimal Notation

x = 1.5, x = - 1

Solution steps

\frac{5}{x + 2} + \frac{3}{x ^{2} + 2 x} = 2

Multiply by LCM

5 x + 3 = 2 x (x + 2)

Solve

5 x + 3 = 2 x (x + 2) : x = \frac{3}{2}, x = - 1

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

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

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

y + \frac{4}{y} = - 5

\frac{2 x - 5}{x + 10} = \frac{1}{x - 6}

\frac{3 x - 6}{7 x + 7} = 0

\frac{5}{4 x} = - \frac{11}{6}

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

What is the answer to 5/(x+2)+3/(x^2+2x)=2 ?
The answer to 5/(x+2)+3/(x^2+2x)=2 is x= 3/2 ,x=-1
Solve for x: 5/(x+2)+3/(x^2+2x)=2
The solution is x= 3/2 ,x=-1