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

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


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

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

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

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

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

Reorder the terms:
4 + 4x + x2 = (-4 + x)(x + -4)

Reorder the terms:
4 + 4x + x2 = (-4 + x)(-4 + x)

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

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

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

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

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

Solving
4 + 4x = 16 + -8x

Solving for variable 'x'.

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

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

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

Combine like terms: -8x + 8x = 0
4 + 12x = 16 + 0
4 + 12x = 16

Add '-4' to each side of the equation.
4 + -4 + 12x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 12x = 16 + -4
12x = 16 + -4

Combine like terms: 16 + -4 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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