(x*x)=x-2*x+2

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Solution for (x*x)=x-2*x+2 equation:


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

Multiply x * x
(x2) = x + -2x + 2
x2 = x + -2x + 2

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

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

Solving
x2 = 2 + -1x

Solving for variable 'x'.

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

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

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

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

Factor a trinomial.
(-2 + -1x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-2, 1}

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