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

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Solution for 0=(x-2)(x-2)+4 equation: 


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

Reorder the terms:
0 = (-2 + x)(x + -2) + 4

Reorder the terms:
0 = (-2 + x)(-2 + x) + 4

Multiply (-2 + x) * (-2 + x)
0 = (-2(-2 + x) + x(-2 + x)) + 4
0 = ((-2 * -2 + x * -2) + x(-2 + x)) + 4
0 = ((4 + -2x) + x(-2 + x)) + 4
0 = (4 + -2x + (-2 * x + x * x)) + 4
0 = (4 + -2x + (-2x + x2)) + 4

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

Reorder the terms:
0 = 4 + 4 + -4x + x2

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

Solving
0 = 8 + -4x + x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + 4x + -1x2 = 8 + -4x + x2 + -8 + 4x + -1x2

Reorder the terms:
-8 + 4x + -1x2 = 8 + -8 + -4x + 4x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-8 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-8 + 4x + -1x2 = 0 + x2 + -1x2
-8 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 4x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -4x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -4x + x2 = 0 + -8

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

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

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -8 + 4

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

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

Factor a perfect square on the left side:
(x + -2)(x + -2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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