(x-2)(x-2)=2x-4

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Solution for (x-2)(x-2)=2x-4 equation: 


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

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

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

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

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2) = 2x + -4

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

Solving
4 + -4x + x2 = -4 + 2x

Solving for variable 'x'.

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

Combine like terms: 4 + 4 = 8
8 + -4x + -2x + x2 = -4 + 2x + 4 + -2x

Combine like terms: -4x + -2x = -6x
8 + -6x + x2 = -4 + 2x + 4 + -2x

Reorder the terms:
8 + -6x + x2 = -4 + 4 + 2x + -2x

Combine like terms: -4 + 4 = 0
8 + -6x + x2 = 0 + 2x + -2x
8 + -6x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -6x + x2 = 0

Factor a trinomial.
(2 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {2, 4}

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