2(x-1)2=x^2

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

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

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

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

Multiply 2 * 2
4(-1 + x) = x2
(-1 * 4 + x * 4) = x2
(-4 + 4x) = x2

Solving
-4 + 4x = x2

Solving for variable 'x'.

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

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

Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2
Subproblem 2
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
Solution
x = {2, 2}