What is the answer to 5/(6x)+1/x =-4 ?

The answer to 5/(6x)+1/x =-4 is x=-11/24

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/(6x)+1/x =-4

\frac{5}{6 x} + \frac{1}{x} = - 4

x = - \frac{11}{24}

Decimal Notation

x = - 0.45833 \dots

Solution steps

\frac{5}{6 x} + \frac{1}{x} = - 4

Multiply by LCM

11 = - 24 x

Switch sides

- 24 x = 11

Divide both sides by

- 24

x = - \frac{11}{24}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{11}{24}

\frac{x}{x - 1} + 9 = \frac{1}{x ^{2} - x}

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

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

\frac{x - 5}{3 x + 4} = \frac{5}{8}

\frac{3}{x + 5} = \frac{2}{4 - x}