What is the answer to 15x^{-2}-4x^{-1}=3 ?

The answer to 15x^{-2}-4x^{-1}=3 is x= 5/3 ,x=-3

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15x^{-2}-4x^{-1}=3

15 x^{- 2} - 4 x^{- 1} = 3

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

Decimal Notation

x = 1.66666 \dots, x = - 3

Solution steps

15 x^{- 2} - 4 x^{- 1} = 3

Refine

\frac{15}{x ^{2}} - \frac{4}{x} = 3

Multiply by LCM

15 - 4 x = 3 x^{2}

Solve

15 - 4 x = 3 x^{2} : x = \frac{5}{3}, x = - 3

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2}{9} = \frac{x - 10}{20 - 5 x}

y, x = \frac{y + 1}{y}

\frac{3 x - 1}{x - 6} = 0

\frac{21}{x} = \frac{6}{2}

\frac{5}{x - 8} = 0

What is the answer to 15x^{-2}-4x^{-1}=3 ?
The answer to 15x^{-2}-4x^{-1}=3 is x= 5/3 ,x=-3
Solve for x: 15x^{-2}-4x^{-1}=3
The solution is x= 5/3 ,x=-3