(x-1)(x-3)(x-4)(x-6)+8=0

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Solution for (x-1)(x-3)(x-4)(x-6)+8=0 equation: 


Simplifying
(x + -1)(x + -3)(x + -4)(x + -6) + 8 = 0

Reorder the terms:
(-1 + x)(x + -3)(x + -4)(x + -6) + 8 = 0

Reorder the terms:
(-1 + x)(-3 + x)(x + -4)(x + -6) + 8 = 0

Reorder the terms:
(-1 + x)(-3 + x)(-4 + x)(x + -6) + 8 = 0

Reorder the terms:
(-1 + x)(-3 + x)(-4 + x)(-6 + x) + 8 = 0

Multiply (-1 + x) * (-3 + x)
(-1(-3 + x) + x(-3 + x))(-4 + x)(-6 + x) + 8 = 0
((-3 * -1 + x * -1) + x(-3 + x))(-4 + x)(-6 + x) + 8 = 0
((3 + -1x) + x(-3 + x))(-4 + x)(-6 + x) + 8 = 0
(3 + -1x + (-3 * x + x * x))(-4 + x)(-6 + x) + 8 = 0
(3 + -1x + (-3x + x2))(-4 + x)(-6 + x) + 8 = 0

Combine like terms: -1x + -3x = -4x
(3 + -4x + x2)(-4 + x)(-6 + x) + 8 = 0

Multiply (3 + -4x + x2) * (-4 + x)
(3(-4 + x) + -4x * (-4 + x) + x2(-4 + x))(-6 + x) + 8 = 0
((-4 * 3 + x * 3) + -4x * (-4 + x) + x2(-4 + x))(-6 + x) + 8 = 0
((-12 + 3x) + -4x * (-4 + x) + x2(-4 + x))(-6 + x) + 8 = 0
(-12 + 3x + (-4 * -4x + x * -4x) + x2(-4 + x))(-6 + x) + 8 = 0
(-12 + 3x + (16x + -4x2) + x2(-4 + x))(-6 + x) + 8 = 0
(-12 + 3x + 16x + -4x2 + (-4 * x2 + x * x2))(-6 + x) + 8 = 0
(-12 + 3x + 16x + -4x2 + (-4x2 + x3))(-6 + x) + 8 = 0

Combine like terms: 3x + 16x = 19x
(-12 + 19x + -4x2 + -4x2 + x3)(-6 + x) + 8 = 0

Combine like terms: -4x2 + -4x2 = -8x2
(-12 + 19x + -8x2 + x3)(-6 + x) + 8 = 0

Multiply (-12 + 19x + -8x2 + x3) * (-6 + x)
(-12(-6 + x) + 19x * (-6 + x) + -8x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
((-6 * -12 + x * -12) + 19x * (-6 + x) + -8x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
((72 + -12x) + 19x * (-6 + x) + -8x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
(72 + -12x + (-6 * 19x + x * 19x) + -8x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
(72 + -12x + (-114x + 19x2) + -8x2 * (-6 + x) + x3(-6 + x)) + 8 = 0
(72 + -12x + -114x + 19x2 + (-6 * -8x2 + x * -8x2) + x3(-6 + x)) + 8 = 0
(72 + -12x + -114x + 19x2 + (48x2 + -8x3) + x3(-6 + x)) + 8 = 0
(72 + -12x + -114x + 19x2 + 48x2 + -8x3 + (-6 * x3 + x * x3)) + 8 = 0
(72 + -12x + -114x + 19x2 + 48x2 + -8x3 + (-6x3 + x4)) + 8 = 0

Combine like terms: -12x + -114x = -126x
(72 + -126x + 19x2 + 48x2 + -8x3 + -6x3 + x4) + 8 = 0

Combine like terms: 19x2 + 48x2 = 67x2
(72 + -126x + 67x2 + -8x3 + -6x3 + x4) + 8 = 0

Combine like terms: -8x3 + -6x3 = -14x3
(72 + -126x + 67x2 + -14x3 + x4) + 8 = 0

Reorder the terms:
72 + 8 + -126x + 67x2 + -14x3 + x4 = 0

Combine like terms: 72 + 8 = 80
80 + -126x + 67x2 + -14x3 + x4 = 0

Solving
80 + -126x + 67x2 + -14x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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