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

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

Solve for x: x/(x+1)=2(x+1)^2

The solution is x=-2,x=-1/2+i 1/2 ,x=-1/2-i 1/2

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\frac{x}{x + 1} = 2 (x + 1)^{2}

x = - 2, x = - \frac{1}{2} + i \frac{1}{2}, x = - \frac{1}{2} - i \frac{1}{2}

Solution steps

\frac{x}{x + 1} = 2 (x + 1)^{2}

Multiply both sides by

x + 1

x = 2 (x + 1)^{3}

Solve

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

x = - 2, x = - \frac{1}{2} + i \frac{1}{2}, x = - \frac{1}{2} - i \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - 2, x = - \frac{1}{2} + i \frac{1}{2}, x = - \frac{1}{2} - i \frac{1}{2}

\frac{1}{x - 3} + \frac{1}{x + 1} = \frac{6}{5}

\frac{40}{d - 30} = \frac{50}{d - 20}

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

2.4 = 1 + \frac{0.08 \cdot g}{1.1 - g}

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

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