(x-2)(x-4)(x-6)(x-8)+16=0

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Solution for (x-2)(x-4)(x-6)(x-8)+16=0 equation: 


Simplifying
(x + -2)(x + -4)(x + -6)(x + -8) + 16 = 0

Reorder the terms:
(-2 + x)(x + -4)(x + -6)(x + -8) + 16 = 0

Reorder the terms:
(-2 + x)(-4 + x)(x + -6)(x + -8) + 16 = 0

Reorder the terms:
(-2 + x)(-4 + x)(-6 + x)(x + -8) + 16 = 0

Reorder the terms:
(-2 + x)(-4 + x)(-6 + x)(-8 + x) + 16 = 0

Multiply (-2 + x) * (-4 + x)
(-2(-4 + x) + x(-4 + x))(-6 + x)(-8 + x) + 16 = 0
((-4 * -2 + x * -2) + x(-4 + x))(-6 + x)(-8 + x) + 16 = 0
((8 + -2x) + x(-4 + x))(-6 + x)(-8 + x) + 16 = 0
(8 + -2x + (-4 * x + x * x))(-6 + x)(-8 + x) + 16 = 0
(8 + -2x + (-4x + x2))(-6 + x)(-8 + x) + 16 = 0

Combine like terms: -2x + -4x = -6x
(8 + -6x + x2)(-6 + x)(-8 + x) + 16 = 0

Multiply (8 + -6x + x2) * (-6 + x)
(8(-6 + x) + -6x * (-6 + x) + x2(-6 + x))(-8 + x) + 16 = 0
((-6 * 8 + x * 8) + -6x * (-6 + x) + x2(-6 + x))(-8 + x) + 16 = 0
((-48 + 8x) + -6x * (-6 + x) + x2(-6 + x))(-8 + x) + 16 = 0
(-48 + 8x + (-6 * -6x + x * -6x) + x2(-6 + x))(-8 + x) + 16 = 0
(-48 + 8x + (36x + -6x2) + x2(-6 + x))(-8 + x) + 16 = 0
(-48 + 8x + 36x + -6x2 + (-6 * x2 + x * x2))(-8 + x) + 16 = 0
(-48 + 8x + 36x + -6x2 + (-6x2 + x3))(-8 + x) + 16 = 0

Combine like terms: 8x + 36x = 44x
(-48 + 44x + -6x2 + -6x2 + x3)(-8 + x) + 16 = 0

Combine like terms: -6x2 + -6x2 = -12x2
(-48 + 44x + -12x2 + x3)(-8 + x) + 16 = 0

Multiply (-48 + 44x + -12x2 + x3) * (-8 + x)
(-48(-8 + x) + 44x * (-8 + x) + -12x2 * (-8 + x) + x3(-8 + x)) + 16 = 0
((-8 * -48 + x * -48) + 44x * (-8 + x) + -12x2 * (-8 + x) + x3(-8 + x)) + 16 = 0
((384 + -48x) + 44x * (-8 + x) + -12x2 * (-8 + x) + x3(-8 + x)) + 16 = 0
(384 + -48x + (-8 * 44x + x * 44x) + -12x2 * (-8 + x) + x3(-8 + x)) + 16 = 0
(384 + -48x + (-352x + 44x2) + -12x2 * (-8 + x) + x3(-8 + x)) + 16 = 0
(384 + -48x + -352x + 44x2 + (-8 * -12x2 + x * -12x2) + x3(-8 + x)) + 16 = 0
(384 + -48x + -352x + 44x2 + (96x2 + -12x3) + x3(-8 + x)) + 16 = 0
(384 + -48x + -352x + 44x2 + 96x2 + -12x3 + (-8 * x3 + x * x3)) + 16 = 0
(384 + -48x + -352x + 44x2 + 96x2 + -12x3 + (-8x3 + x4)) + 16 = 0

Combine like terms: -48x + -352x = -400x
(384 + -400x + 44x2 + 96x2 + -12x3 + -8x3 + x4) + 16 = 0

Combine like terms: 44x2 + 96x2 = 140x2
(384 + -400x + 140x2 + -12x3 + -8x3 + x4) + 16 = 0

Combine like terms: -12x3 + -8x3 = -20x3
(384 + -400x + 140x2 + -20x3 + x4) + 16 = 0

Reorder the terms:
384 + 16 + -400x + 140x2 + -20x3 + x4 = 0

Combine like terms: 384 + 16 = 400
400 + -400x + 140x2 + -20x3 + x4 = 0

Solving
400 + -400x + 140x2 + -20x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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