What is the answer to (11)/(4x)+9=3 ?

The answer to (11)/(4x)+9=3 is x=-11/24

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(11)/(4x)+9=3

\frac{11}{4 x} + 9 = 3

x = - \frac{11}{24}

Decimal Notation

x = - 0.45833 \dots

Solution steps

\frac{11}{4 x} + 9 = 3

Move

9

to the right side

\frac{11}{4 x} = - 6

Multiply both sides by

x

\frac{11}{4} = - 6 x

Switch sides

- 6 x = \frac{11}{4}

Divide both sides by

- 6

x = - \frac{11}{24}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{11}{24}

\frac{3 x}{x - 2} + \frac{1}{x} = 4

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

\frac{x ^{3}}{2 x ^{5}} = 2

x, \frac{y}{x} = z

0 = \frac{x + 3}{2 x ^{2} - 6}