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

The answer to x^2-2x= x/(x-2) is x=0,x=1,x=3

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

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

x = 0, x = 1, x = 3

Solution steps

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

Multiply both sides by

x - 2

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

Solve

x^{2} (x - 2) - 2 x (x - 2) = x : x = 0, x = 1, x = 3

x = 0, x = 1, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0, x = 1, x = 3

\frac{x + 5}{x + 3} = 2

\frac{15}{4 x - 3} = 7

x - \frac{2}{5} = \frac{3}{x}

200 = \frac{40 + 20 x}{1 + 0.05 x}

\frac{44}{x} = 4

What is the answer to x^2-2x= x/(x-2) ?
The answer to x^2-2x= x/(x-2) is x=0,x=1,x=3
Solve for x: x^2-2x= x/(x-2)
The solution is x=0,x=1,x=3