What is the answer to 9x+1/(x+1)=-x/(x+1) ?

The answer to 9x+1/(x+1)=-x/(x+1) is x=-1/9

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9x+1/(x+1)=-x/(x+1)

9 x + \frac{1}{x + 1} = - \frac{x}{x + 1}

x = - \frac{1}{9}

Decimal

x = - 0.11111 \dots

Solution steps

9 x + \frac{1}{x + 1} = - \frac{x}{x + 1}

Multiply both sides by

x + 1

9 x (x + 1) + 1 = - x

Solve

9 x (x + 1) + 1 = - x : x = - \frac{1}{9}, x = - 1

x = - \frac{1}{9}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 1

Since the equation is undefined for:

- 1

x = - \frac{1}{9}

\frac{3}{x ^{2}} - \frac{47}{x} = 16

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

\frac{8}{20} = \frac{10}{x}

\frac{4}{x} - \frac{5}{3} = \frac{x}{6}

\frac{x - 5}{4} + \frac{5}{x + 2} = \frac{7}{2}

What is the answer to 9x+1/(x+1)=-x/(x+1) ?
The answer to 9x+1/(x+1)=-x/(x+1) is x=-1/9
Solve for x: 9x+1/(x+1)=-x/(x+1)
The solution is x=-1/9