x(x-2)=2(2-x)

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


Simplifying
x(x + -2) = 2(2 + -1x)

Reorder the terms:
x(-2 + x) = 2(2 + -1x)
(-2 * x + x * x) = 2(2 + -1x)
(-2x + x2) = 2(2 + -1x)
-2x + x2 = (2 * 2 + -1x * 2)
-2x + x2 = (4 + -2x)

Add '2x' to each side of the equation.
-2x + 2x + x2 = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
0 + x2 = 4 + -2x + 2x
x2 = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
x2 = 4 + 0
x2 = 4

Solving
x2 = 4

Solving for variable 'x'.

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

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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