(x-3)(x-6)(x-6)(x-6)+8=0

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Solution for (x-3)(x-6)(x-6)(x-6)+8=0 equation: 


Simplifying
(x + -3)(x + -6)(x + -6)(x + -6) + 8 = 0

Reorder the terms:
(-3 + x)(x + -6)(x + -6)(x + -6) + 8 = 0

Reorder the terms:
(-3 + x)(-6 + x)(x + -6)(x + -6) + 8 = 0

Reorder the terms:
(-3 + x)(-6 + x)(-6 + x)(x + -6) + 8 = 0

Reorder the terms:
(-3 + x)(-6 + x)(-6 + x)(-6 + x) + 8 = 0

Multiply (-3 + x) * (-6 + x)
(-3(-6 + x) + x(-6 + x))(-6 + x)(-6 + x) + 8 = 0
((-6 * -3 + x * -3) + x(-6 + x))(-6 + x)(-6 + x) + 8 = 0
((18 + -3x) + x(-6 + x))(-6 + x)(-6 + x) + 8 = 0
(18 + -3x + (-6 * x + x * x))(-6 + x)(-6 + x) + 8 = 0
(18 + -3x + (-6x + x2))(-6 + x)(-6 + x) + 8 = 0

Combine like terms: -3x + -6x = -9x
(18 + -9x + x2)(-6 + x)(-6 + x) + 8 = 0

Multiply (18 + -9x + x2) * (-6 + x)
(18(-6 + x) + -9x * (-6 + x) + x2(-6 + x))(-6 + x) + 8 = 0
((-6 * 18 + x * 18) + -9x * (-6 + x) + x2(-6 + x))(-6 + x) + 8 = 0
((-108 + 18x) + -9x * (-6 + x) + x2(-6 + x))(-6 + x) + 8 = 0
(-108 + 18x + (-6 * -9x + x * -9x) + x2(-6 + x))(-6 + x) + 8 = 0
(-108 + 18x + (54x + -9x2) + x2(-6 + x))(-6 + x) + 8 = 0
(-108 + 18x + 54x + -9x2 + (-6 * x2 + x * x2))(-6 + x) + 8 = 0
(-108 + 18x + 54x + -9x2 + (-6x2 + x3))(-6 + x) + 8 = 0

Combine like terms: 18x + 54x = 72x
(-108 + 72x + -9x2 + -6x2 + x3)(-6 + x) + 8 = 0

Combine like terms: -9x2 + -6x2 = -15x2
(-108 + 72x + -15x2 + x3)(-6 + x) + 8 = 0

Multiply (-108 + 72x + -15x2 + x3) * (-6 + x)
(-108(-6 + x) + 72x * (-6 + x) + -15x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
((-6 * -108 + x * -108) + 72x * (-6 + x) + -15x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
((648 + -108x) + 72x * (-6 + x) + -15x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
(648 + -108x + (-6 * 72x + x * 72x) + -15x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
(648 + -108x + (-432x + 72x2) + -15x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
(648 + -108x + -432x + 72x2 + (-6 * -15x2 + x * -15x2) + x3(-6 + x)) + 8 = 0
(648 + -108x + -432x + 72x2 + (90x2 + -15x3) + x3(-6 + x)) + 8 = 0
(648 + -108x + -432x + 72x2 + 90x2 + -15x3 + (-6 * x3 + x * x3)) + 8 = 0
(648 + -108x + -432x + 72x2 + 90x2 + -15x3 + (-6x3 + x4)) + 8 = 0

Combine like terms: -108x + -432x = -540x
(648 + -540x + 72x2 + 90x2 + -15x3 + -6x3 + x4) + 8 = 0

Combine like terms: 72x2 + 90x2 = 162x2
(648 + -540x + 162x2 + -15x3 + -6x3 + x4) + 8 = 0

Combine like terms: -15x3 + -6x3 = -21x3
(648 + -540x + 162x2 + -21x3 + x4) + 8 = 0

Reorder the terms:
648 + 8 + -540x + 162x2 + -21x3 + x4 = 0

Combine like terms: 648 + 8 = 656
656 + -540x + 162x2 + -21x3 + x4 = 0

Solving
656 + -540x + 162x2 + -21x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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