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

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


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

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

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

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

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

Reorder the terms:
-16 + 6x + x2 = (-4 + x)(x + -4)

Reorder the terms:
-16 + 6x + x2 = (-4 + x)(-4 + x)

Multiply (-4 + x) * (-4 + x)
-16 + 6x + x2 = (-4(-4 + x) + x(-4 + x))
-16 + 6x + x2 = ((-4 * -4 + x * -4) + x(-4 + x))
-16 + 6x + x2 = ((16 + -4x) + x(-4 + x))
-16 + 6x + x2 = (16 + -4x + (-4 * x + x * x))
-16 + 6x + x2 = (16 + -4x + (-4x + x2))

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

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

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

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

Solving
-16 + 6x = 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.
-16 + 6x + 8x = 16 + -8x + 8x

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

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

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

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

Combine like terms: 16 + 16 = 32
14x = 32

Divide each side by '14'.
x = 2.285714286

Simplifying
x = 2.285714286

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