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

The answer to 3/x+2/(x^2)=2 is x=2,x=-1/2

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3/x+2/(x^2)=2

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

x = 2, x = - \frac{1}{2}

Decimal Notation

x = 2, x = - 0.5

Solution steps

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

Multiply by LCM

3 x + 2 = 2 x^{2}

Solve

3 x + 2 = 2 x^{2} : x = 2, x = - \frac{1}{2}

x = 2, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - \frac{1}{2}

\frac{- x}{10} = \frac{- 8}{5 x}

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

\frac{5 - 19 x}{8 + x ^{2}} = 0

6 - \frac{5}{w + 2} = - \frac{4}{w - 1}

l^{2} + \frac{l}{x} = 0