What is the answer to x^2+3x-(20)/(x^2+3x)=8 ?

The answer to x^2+3x-(20)/(x^2+3x)=8 is x=-1,x=-5,x=-2,x=2

Solve for x: x^2+3x-(20)/(x^2+3x)=8

The solution is x=-1,x=-5,x=-2,x=2

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x^{2} + 3 x - \frac{20}{x ^{2} + 3 x} = 8

x = - 1, x = - 5, x = - 2, x = 2

Solution steps

x^{2} + 3 x - \frac{20}{x ^{2} + 3 x} = 8

Multiply both sides by

x^{2} + 3 x

x^{2} (x^{2} + 3 x) + 3 x (x^{2} + 3 x) - 20 = 8 (x^{2} + 3 x)

Solve

x^{2} (x^{2} + 3 x) + 3 x (x^{2} + 3 x) - 20 = 8 (x^{2} + 3 x) : x = - 1, x = - 5, x = - 2, x = 2

x = - 1, x = - 5, x = - 2, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = - 1, x = - 5, x = - 2, x = 2

\frac{38}{x} = 0.29

1 - \frac{2}{x ^{3}} = 0

x - 1 + \frac{4}{x + 1} = 0

\frac{10}{2 x} = 5

\frac{2}{15 d} - \frac{3}{5 d} = 35

What is the answer to x^2+3x-(20)/(x^2+3x)=8 ?
The answer to x^2+3x-(20)/(x^2+3x)=8 is x=-1,x=-5,x=-2,x=2
Solve for x: x^2+3x-(20)/(x^2+3x)=8
The solution is x=-1,x=-5,x=-2,x=2