What is the answer to x/(9x^2)=81 ?

The answer to x/(9x^2)=81 is x= 1/729

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x/(9x^2)=81

\frac{x}{9 x ^{2}} = 81

x = \frac{1}{729}

Decimal Notation

x = 0.00137 \dots

Solution steps

\frac{x}{9 x ^{2}} = 81

Simplify

\frac{x}{9 x ^{2}} : \frac{1}{9 x}

\frac{1}{9 x} = 81

Multiply both sides by

x

\frac{1}{9} = 81 x

Switch sides

81 x = \frac{1}{9}

Divide both sides by

81

x = \frac{1}{729}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{729}

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

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

b, \frac{d}{b} = n^{3}

6 = \frac{2 π}{x}

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