What is the answer to 5.59*10^{-10}=(0.26x+x^2)/(-x) ?

The answer to 5.59*10^{-10}=(0.26x+x^2)/(-x) is x=-0.26000…

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5.59*10^{-10}=(0.26x+x^2)/(-x)

5.59 \cdot 1 0^{- 10} = \frac{0.26 x + x ^{2}}{- x}

x = - 0.26000 \dots

Solution steps

5.59 \cdot 1 0^{- 10} = \frac{0.26 x + x ^{2}}{- x}

Refine

\frac{5.59}{1 0 ^{10}} = - (0.26 + x)

Multiply both sides by

1 0^{10}

5.59 = - (0.26 + x) \cdot 1 0^{10}

Switch sides

- (0.26 + x) \cdot 1 0^{10} = 5.59

Divide both sides by

- 1 0^{10}

0.26 + x = - 5.59 E - 10

Move

0.26

to the right side

x = - 0.26000 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 0.26000 \dots

\frac{33}{x + 6.5} + \frac{4}{x - 6.5} = 1

\frac{4}{x + 6} = \frac{6}{x}

- \frac{5}{x ( x - 1 )} = \frac{x + 5}{x}

2.7 = \frac{2.8}{29 \cdot 20.5 \cdot x}

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

What is the answer to 5.59*10^{-10}=(0.26x+x^2)/(-x) ?
The answer to 5.59*10^{-10}=(0.26x+x^2)/(-x) is x=-0.26000…
Solve for x: 5.59*10^{-10}=(0.26x+x^2)/(-x)
The solution is x=-0.26000…