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

The answer to 3x(x+5)=-5x^{-2}+2 is x\approx-0.68000…,x\approx-5.11783…

Solve for x: 3x(x+5)=-5x^{-2}+2

The solution is x\approx-0.68000…,x\approx-5.11783…

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3 x (x + 5) = - 5 x^{- 2} + 2

x \approx - 0.68000 \dots, x \approx - 5.11783 \dots

Solution steps

3 x (x + 5) = - 5 x^{- 2} + 2

Refine

3 x (x + 5) = - \frac{5}{x ^{2}} + 2

Multiply both sides by

x^{2}

3 x^{3} (x + 5) = - 5 + 2 x^{2}

Solve

3 x^{3} (x + 5) = - 5 + 2 x^{2} : x \approx - 0.68000 \dots, x \approx - 5.11783 \dots

x \approx - 0.68000 \dots, x \approx - 5.11783 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx - 0.68000 \dots, x \approx - 5.11783 \dots

\frac{6}{n - 10} = \frac{7}{4}

\frac{x - 5}{x} = x^{2}

\frac{2}{5} = \frac{6}{n}

\frac{5}{4 x - 1} = \frac{1 + 5}{4 x}

\frac{2}{7} = \frac{8}{x}

What is the answer to 3x(x+5)=-5x^{-2}+2 ?
The answer to 3x(x+5)=-5x^{-2}+2 is x\approx-0.68000…,x\approx-5.11783…
Solve for x: 3x(x+5)=-5x^{-2}+2
The solution is x\approx-0.68000…,x\approx-5.11783…