What is the answer to 0.36=((2x)^2)/(0.1-x) ?

The answer to 0.36=((2x)^2)/(0.1-x) is x=(-0.36+sqrt(0.7056))/8 ,x=(-0.36-sqrt(0.7056))/8

Solve for x: 0.36=((2x)^2)/(0.1-x)

The solution is x=(-0.36+sqrt(0.7056))/8 ,x=(-0.36-sqrt(0.7056))/8

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0.36 = \frac{( 2 x ) ^{2}}{0.1 - x}

x = \frac{- 0.36 + 0.7056}{8}, x = \frac{- 0.36 - 0.7056}{8}

Decimal

x = 0.06, x = - 0.15

Solution steps

0.36 = \frac{( 2 x ) ^{2}}{0.1 - x}

Simplify

\frac{( 2 x ) ^{2}}{0.1 - x} : \frac{4 x ^{2}}{0.1 - x}

0.36 = \frac{4 x ^{2}}{0.1 - x}

Multiply both sides by

0.1 - x

0.36 (0.1 - x) = 4 x^{2}

Solve

0.36 (0.1 - x) = 4 x^{2} : x = \frac{- 0.36 + 0.7056}{8}, x = \frac{- 0.36 - 0.7056}{8}

x = \frac{- 0.36 + 0.7056}{8}, x = \frac{- 0.36 - 0.7056}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0.1

Combine undefined points with solutions:

x = \frac{- 0.36 + 0.7056}{8}, x = \frac{- 0.36 - 0.7056}{8}

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

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

x^{- 2} + 3 x^{- 1} - 10 = 0

\frac{( x - 8 ) ^{2}}{x - 8} = 0

\frac{1}{x - 4} + \frac{1}{8} = 3

What is the answer to 0.36=((2x)^2)/(0.1-x) ?
The answer to 0.36=((2x)^2)/(0.1-x) is x=(-0.36+sqrt(0.7056))/8 ,x=(-0.36-sqrt(0.7056))/8
Solve for x: 0.36=((2x)^2)/(0.1-x)
The solution is x=(-0.36+sqrt(0.7056))/8 ,x=(-0.36-sqrt(0.7056))/8