x(x-2)=36-2x

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Solution for x(x-2)=36-2x equation:


Simplifying
x(x + -2) = 36 + -2x

Reorder the terms:
x(-2 + x) = 36 + -2x
(-2 * x + x * x) = 36 + -2x
(-2x + x2) = 36 + -2x

Add '2x' to each side of the equation.
-2x + 2x + x2 = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
0 + x2 = 36 + -2x + 2x
x2 = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
x2 = 36 + 0
x2 = 36

Solving
x2 = 36

Solving for variable 'x'.

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

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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