What is the answer to 3/x+2= 1/(x^3) ?

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

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3/x+2= 1/(x^3)

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

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

Decimal Notation

x = - 1, x = 0.5

Solution steps

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

Multiply by LCM

3 x^{2} + 2 x^{3} = 1

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x - 4}{4 x + 8} = \frac{1}{2}

4 + x = x^{2} - \frac{x ^{2} - 16}{x - 4}

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

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

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

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