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

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Solution for x(x-2)=2(x^2-x+1) equation: 


Simplifying
x(x + -2) = 2(x2 + -1x + 1)

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

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

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

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

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

Solving
x2 = 2 + 2x2

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x2 = -2

Simplifying
x2 = -2

Reorder the terms:
2 + x2 = -2 + 2

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

The solution to this equation could not be determined.

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