x^2+2-2x(x-1)=-x^2+4

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Solution for x^2+2-2x(x-1)=-x^2+4 equation: 


Simplifying
x2 + 2 + -2x(x + -1) = -1x2 + 4

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

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

Combine like terms: x2 + -2x2 = -1x2
2 + 2x + -1x2 = -1x2 + 4

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

Add 'x2' to each side of the equation.
2 + 2x + -1x2 + x2 = 4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 2x + 0 = 4 + -1x2 + x2
2 + 2x = 4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 2x = 4 + 0
2 + 2x = 4

Solving
2 + 2x = 4

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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