(X+2)(x+2)+x^2=(x+4)(x+4)

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Solution for (X+2)(x+2)+x^2=(x+4)(x+4) equation: 


Simplifying
(X + 2)(x + 2) + x2 = (x + 4)(x + 4)

Reorder the terms:
(2 + X)(x + 2) + x2 = (x + 4)(x + 4)

Reorder the terms:
(2 + X)(2 + x) + x2 = (x + 4)(x + 4)

Multiply (2 + X) * (2 + x)
(2(2 + x) + X(2 + x)) + x2 = (x + 4)(x + 4)
((2 * 2 + x * 2) + X(2 + x)) + x2 = (x + 4)(x + 4)
((4 + 2x) + X(2 + x)) + x2 = (x + 4)(x + 4)
(4 + 2x + (2 * X + x * X)) + x2 = (x + 4)(x + 4)
(4 + 2x + (2X + xX)) + x2 = (x + 4)(x + 4)

Reorder the terms:
(4 + 2X + 2x + xX) + x2 = (x + 4)(x + 4)
(4 + 2X + 2x + xX) + x2 = (x + 4)(x + 4)

Reorder the terms:
4 + 2X + 2x + xX + x2 = (4 + x)(x + 4)

Reorder the terms:
4 + 2X + 2x + xX + x2 = (4 + x)(4 + x)

Multiply (4 + x) * (4 + x)
4 + 2X + 2x + xX + x2 = (4(4 + x) + x(4 + x))
4 + 2X + 2x + xX + x2 = ((4 * 4 + x * 4) + x(4 + x))
4 + 2X + 2x + xX + x2 = ((16 + 4x) + x(4 + x))
4 + 2X + 2x + xX + x2 = (16 + 4x + (4 * x + x * x))
4 + 2X + 2x + xX + x2 = (16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
4 + 2X + 2x + xX + x2 = (16 + 8x + x2)

Add '-1x2' to each side of the equation.
4 + 2X + 2x + xX + x2 + -1x2 = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 2X + 2x + xX + 0 = 16 + 8x + x2 + -1x2
4 + 2X + 2x + xX = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 2X + 2x + xX = 16 + 8x + 0
4 + 2X + 2x + xX = 16 + 8x

Solving
4 + 2X + 2x + xX = 16 + 8x

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 2X + 2x + -4 + xX = 16 + -4 + 8x

Reorder the terms:
4 + -4 + 2X + 2x + xX = 16 + -4 + 8x

Combine like terms: 4 + -4 = 0
0 + 2X + 2x + xX = 16 + -4 + 8x
2X + 2x + xX = 16 + -4 + 8x

Combine like terms: 16 + -4 = 12
2X + 2x + xX = 12 + 8x

Add '-2x' to each side of the equation.
2X + 2x + -2x + xX = 12 + 8x + -2x

Combine like terms: 2x + -2x = 0
2X + 0 + xX = 12 + 8x + -2x
2X + xX = 12 + 8x + -2x

Combine like terms: 8x + -2x = 6x
2X + xX = 12 + 6x

Reorder the terms:
-12 + 2X + -6x + xX = 12 + 6x + -12 + -6x

Reorder the terms:
-12 + 2X + -6x + xX = 12 + -12 + 6x + -6x

Combine like terms: 12 + -12 = 0
-12 + 2X + -6x + xX = 0 + 6x + -6x
-12 + 2X + -6x + xX = 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 2X + -6x + xX = 0

The solution to this equation could not be determined.

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