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

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


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

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

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

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

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

Multiply (4 + -1x) * (4 + -1x)
4 + 4x + x2 = (4(4 + -1x) + -1x * (4 + -1x)) + 2 * 2
4 + 4x + x2 = ((4 * 4 + -1x * 4) + -1x * (4 + -1x)) + 2 * 2
4 + 4x + x2 = ((16 + -4x) + -1x * (4 + -1x)) + 2 * 2
4 + 4x + x2 = (16 + -4x + (4 * -1x + -1x * -1x)) + 2 * 2
4 + 4x + x2 = (16 + -4x + (-4x + 1x2)) + 2 * 2

Combine like terms: -4x + -4x = -8x
4 + 4x + x2 = (16 + -8x + 1x2) + 2 * 2

Multiply 2 * 2
4 + 4x + x2 = 16 + -8x + 1x2 + 4

Reorder the terms:
4 + 4x + x2 = 16 + 4 + -8x + 1x2

Combine like terms: 16 + 4 = 20
4 + 4x + x2 = 20 + -8x + 1x2

Solving
4 + 4x + x2 = 20 + -8x + 1x2

Solving for variable 'x'.

Reorder the terms:
4 + -20 + 4x + 8x + x2 + -1x2 = 20 + -8x + 1x2 + -20 + 8x + -1x2

Combine like terms: 4 + -20 = -16
-16 + 4x + 8x + x2 + -1x2 = 20 + -8x + 1x2 + -20 + 8x + -1x2

Combine like terms: 4x + 8x = 12x
-16 + 12x + x2 + -1x2 = 20 + -8x + 1x2 + -20 + 8x + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 12x + 0 = 20 + -8x + 1x2 + -20 + 8x + -1x2
-16 + 12x = 20 + -8x + 1x2 + -20 + 8x + -1x2

Reorder the terms:
-16 + 12x = 20 + -20 + -8x + 8x + 1x2 + -1x2

Combine like terms: 20 + -20 = 0
-16 + 12x = 0 + -8x + 8x + 1x2 + -1x2
-16 + 12x = -8x + 8x + 1x2 + -1x2

Combine like terms: -8x + 8x = 0
-16 + 12x = 0 + 1x2 + -1x2
-16 + 12x = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-16 + 12x = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 3x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 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 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1.333333333}

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