2x(x-1)=10-2x

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Solution for 2x(x-1)=10-2x equation: 


Simplifying
2x(x + -1) = 10 + -2x

Reorder the terms:
2x(-1 + x) = 10 + -2x
(-1 * 2x + x * 2x) = 10 + -2x
(-2x + 2x2) = 10 + -2x

Add '2x' to each side of the equation.
-2x + 2x + 2x2 = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
0 + 2x2 = 10 + -2x + 2x
2x2 = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
2x2 = 10 + 0
2x2 = 10

Solving
2x2 = 10

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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