What is the answer to x/(x+1)+4= 1/(x^2+x) ?

The answer to x/(x+1)+4= 1/(x^2+x) is x= 1/5

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x/(x+1)+4= 1/(x^2+x)

\frac{x}{x + 1} + 4 = \frac{1}{x ^{2} + x}

x = \frac{1}{5}

Decimal

x = 0.2

Solution steps

\frac{x}{x + 1} + 4 = \frac{1}{x ^{2} + x}

Multiply by LCM

x^{2} + 4 x (x + 1) = 1

Solve

x^{2} + 4 x (x + 1) = 1 : x = \frac{1}{5}, x = - 1

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

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Since the equation is undefined for:

- 1

x = \frac{1}{5}

c, 2 = \frac{12 b ^{4} a ^{2}}{8 c}

\frac{1}{x - 2} + \frac{1}{x + 2} = \frac{3}{8}

7 + \frac{x}{x + 6} = \frac{2}{x + 6}

\frac{s}{s + 2} + s = \frac{5 s + 8}{s + 2}

\frac{2.3}{x} = \frac{4}{5}

What is the answer to x/(x+1)+4= 1/(x^2+x) ?
The answer to x/(x+1)+4= 1/(x^2+x) is x= 1/5
Solve for x: x/(x+1)+4= 1/(x^2+x)
The solution is x= 1/5