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

The answer to (9x)/(2x^2)=2 is x= 9/4

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(9x)/(2x^2)=2

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

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

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

Simplify

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

\frac{9}{2 x} = 2

Multiply both sides by

x

\frac{9}{2} = 2 x

Switch sides

2 x = \frac{9}{2}

Divide both sides by

2

x = \frac{9}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{4}

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

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

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

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

\frac{2}{3 x} + \frac{1}{6} = \frac{4}{3 x}