What is the answer to 2/x+4/(9x)=-22 ?

The answer to 2/x+4/(9x)=-22 is x=-1/9

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2/x+4/(9x)=-22

\frac{2}{x} + \frac{4}{9 x} = - 22

x = - \frac{1}{9}

Decimal Notation

x = - 0.11111 \dots

Solution steps

\frac{2}{x} + \frac{4}{9 x} = - 22

Multiply by LCM

22 = - 198 x

Switch sides

- 198 x = 22

Divide both sides by

- 198

x = - \frac{1}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{9}

\frac{7}{x} = \frac{3}{2 x} + 1

- 5 = \frac{3}{7 x}

\frac{2}{x + 1} + \frac{3}{5 x + 5} = 0

\frac{5 x}{x + 1} = 4 - \frac{5}{x + 1}

x, \frac{3 x + 2}{5 - x} = 0