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

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


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

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

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

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

Combine like terms: 8x + 2x = 10x
(16 + 10x + x2) = (x + -8)(x + -2)

Reorder the terms:
16 + 10x + x2 = (-8 + x)(x + -2)

Reorder the terms:
16 + 10x + x2 = (-8 + x)(-2 + x)

Multiply (-8 + x) * (-2 + x)
16 + 10x + x2 = (-8(-2 + x) + x(-2 + x))
16 + 10x + x2 = ((-2 * -8 + x * -8) + x(-2 + x))
16 + 10x + x2 = ((16 + -8x) + x(-2 + x))
16 + 10x + x2 = (16 + -8x + (-2 * x + x * x))
16 + 10x + x2 = (16 + -8x + (-2x + x2))

Combine like terms: -8x + -2x = -10x
16 + 10x + x2 = (16 + -10x + x2)

Add '-16' to each side of the equation.
16 + 10x + -16 + x2 = 16 + -10x + -16 + x2

Reorder the terms:
16 + -16 + 10x + x2 = 16 + -10x + -16 + x2

Combine like terms: 16 + -16 = 0
0 + 10x + x2 = 16 + -10x + -16 + x2
10x + x2 = 16 + -10x + -16 + x2

Reorder the terms:
10x + x2 = 16 + -16 + -10x + x2

Combine like terms: 16 + -16 = 0
10x + x2 = 0 + -10x + x2
10x + x2 = -10x + x2

Add '-1x2' to each side of the equation.
10x + x2 + -1x2 = -10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10x + 0 = -10x + x2 + -1x2
10x = -10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10x = -10x + 0
10x = -10x

Solving
10x = -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
10x + 10x = -10x + 10x

Combine like terms: 10x + 10x = 20x
20x = -10x + 10x

Combine like terms: -10x + 10x = 0
20x = 0

Divide each side by '20'.
x = 0

Simplifying
x = 0

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