2x(x-1)=162-2x

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Solution for 2x(x-1)=162-2x equation: 


Simplifying
2x(x + -1) = 162 + -2x

Reorder the terms:
2x(-1 + x) = 162 + -2x
(-1 * 2x + x * 2x) = 162 + -2x
(-2x + 2x2) = 162 + -2x

Add '2x' to each side of the equation.
-2x + 2x + 2x2 = 162 + -2x + 2x

Combine like terms: -2x + 2x = 0
0 + 2x2 = 162 + -2x + 2x
2x2 = 162 + -2x + 2x

Combine like terms: -2x + 2x = 0
2x2 = 162 + 0
2x2 = 162

Solving
2x2 = 162

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}

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