What is the answer to 2/(x^2)+3/x-2=0 ?

The answer to 2/(x^2)+3/x-2=0 is x=-1/2 ,x=2

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2/(x^2)+3/x-2=0

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

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

Decimal Notation

x = - 0.5, x = 2

Solution steps

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

Multiply by LCM

2 + 3 x - 2 x^{2} = 0

Solve

2 + 3 x - 2 x^{2} = 0 : x = - \frac{1}{2}, x = 2

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

0 = 2 x - \frac{2}{x ^{2}}

7 + \frac{1}{x + 5} = \frac{5 x}{x + 5}

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

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

What is the answer to 2/(x^2)+3/x-2=0 ?
The answer to 2/(x^2)+3/x-2=0 is x=-1/2 ,x=2
Solve for x: 2/(x^2)+3/x-2=0
The solution is x=-1/2 ,x=2