x^2-2x=x(2+x)

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Solution for x^2-2x=x(2+x) equation:


Simplifying
x2 + -2x = x(2 + x)

Reorder the terms:
-2x + x2 = x(2 + x)
-2x + x2 = (2 * x + x * x)
-2x + x2 = (2x + x2)

Add '-1x2' to each side of the equation.
-2x + x2 + -1x2 = 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x + 0 = 2x + x2 + -1x2
-2x = 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x = 2x + 0
-2x = 2x

Solving
-2x = 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-2x + -2x = 2x + -2x

Combine like terms: -2x + -2x = -4x
-4x = 2x + -2x

Combine like terms: 2x + -2x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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