What is the answer to 3x^{-2}+5=8x^{-1} ?

The answer to 3x^{-2}+5=8x^{-1} is x=1,x= 3/5

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3x^{-2}+5=8x^{-1}

3 x^{- 2} + 5 = 8 x^{- 1}

x = 1, x = \frac{3}{5}

Decimal Notation

x = 1, x = 0.6

Solution steps

3 x^{- 2} + 5 = 8 x^{- 1}

Refine

\frac{3}{x ^{2}} + 5 = \frac{8}{x}

Multiply by LCM

3 + 5 x^{2} = 8 x

Solve

3 + 5 x^{2} = 8 x : x = 1, x = \frac{3}{5}

x = 1, x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = \frac{3}{5}

\frac{x}{x - 1} + 9 = \frac{1}{x - 1}

1 = \frac{6 x ^{2}}{x ^{4} + 9}

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

\frac{0.2}{x} = \frac{0.2 + 1}{7}

\frac{x - 1}{x - 6} = \frac{- 2}{x}

What is the answer to 3x^{-2}+5=8x^{-1} ?
The answer to 3x^{-2}+5=8x^{-1} is x=1,x= 3/5
Solve for x: 3x^{-2}+5=8x^{-1}
The solution is x=1,x= 3/5