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

The answer to x=(x^2)/(x-2) is x=0

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x=(x^2)/(x-2)

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

x = 0

Solution steps

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

Multiply both sides by

x - 2

x (x - 2) = x^{2}

Expand

x (x - 2) : x^{2} - 2 x

x^{2} - 2 x = x^{2}

Move

x^{2}

to the left side

- 2 x = 0

Divide both sides by

- 2

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0

\frac{10}{x + 3} - \frac{2}{x} = 1

\frac{2 x}{x + 4} = 6 - \frac{8}{x + 4}

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

E, μ = \frac{3 K E}{9 K - E}

\frac{15}{x} = 150