(x+4)(x-4)=(x-8)(x+2)

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Solution for (x+4)(x-4)=(x-8)(x+2) equation: 


Simplifying
(x + 4)(x + -4) = (x + -8)(x + 2)

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

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

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

Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) = (x + -8)(x + 2)
(-16 + x2) = (x + -8)(x + 2)

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

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

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

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

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

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

Reorder the terms:
x2 = -16 + 16 + -6x + x2

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

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

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

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

Solving
0 = -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.
0 + 6x = -6x + 6x
Remove the zero:
6x = -6x + 6x

Combine like terms: -6x + 6x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0

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