What is the answer to 9/x+6= 2/(3x) ?

The answer to 9/x+6= 2/(3x) is x=-25/18

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9/x+6= 2/(3x)

\frac{9}{x} + 6 = \frac{2}{3 x}

x = - \frac{25}{18}

Decimal Notation

x = - 1.38888 \dots

Solution steps

\frac{9}{x} + 6 = \frac{2}{3 x}

Multiply by LCM

27 + 18 x = 2

Move

27

to the right side

18 x = - 25

Divide both sides by

18

x = - \frac{25}{18}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{25}{18}

\frac{5}{x - 7} = \frac{2}{x - 1}

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

0 = \frac{x ^{2} + 3 x}{( 3 x + 1 ) ^{2}}

r, F = G \frac{mm}{r ^{2}}

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