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

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


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

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

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

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

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

Reorder the terms:
16 + 8x + x2 = (-2 + x)(x + -4)

Reorder the terms:
16 + 8x + x2 = (-2 + x)(-4 + x)

Multiply (-2 + x) * (-4 + x)
16 + 8x + x2 = (-2(-4 + x) + x(-4 + x))
16 + 8x + x2 = ((-4 * -2 + x * -2) + x(-4 + x))
16 + 8x + x2 = ((8 + -2x) + x(-4 + x))
16 + 8x + x2 = (8 + -2x + (-4 * x + x * x))
16 + 8x + x2 = (8 + -2x + (-4x + x2))

Combine like terms: -2x + -4x = -6x
16 + 8x + x2 = (8 + -6x + x2)

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = 8 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = 8 + -6x + x2 + -1x2
16 + 8x = 8 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = 8 + -6x + 0
16 + 8x = 8 + -6x

Solving
16 + 8x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
16 + 8x + 6x = 8 + -6x + 6x

Combine like terms: 8x + 6x = 14x
16 + 14x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 14x = 8 + 0
16 + 14x = 8

Add '-16' to each side of the equation.
16 + -16 + 14x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 14x = 8 + -16
14x = 8 + -16

Combine like terms: 8 + -16 = -8
14x = -8

Divide each side by '14'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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