(x-1)(x-2)(x-3)(x-4)=120

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Solution for (x-1)(x-2)(x-3)(x-4)=120 equation: 


Simplifying
(x + -1)(x + -2)(x + -3)(x + -4) = 120

Reorder the terms:
(-1 + x)(x + -2)(x + -3)(x + -4) = 120

Reorder the terms:
(-1 + x)(-2 + x)(x + -3)(x + -4) = 120

Reorder the terms:
(-1 + x)(-2 + x)(-3 + x)(x + -4) = 120

Reorder the terms:
(-1 + x)(-2 + x)(-3 + x)(-4 + x) = 120

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(-3 + x)(-4 + x) = 120
((-2 * -1 + x * -1) + x(-2 + x))(-3 + x)(-4 + x) = 120
((2 + -1x) + x(-2 + x))(-3 + x)(-4 + x) = 120
(2 + -1x + (-2 * x + x * x))(-3 + x)(-4 + x) = 120
(2 + -1x + (-2x + x2))(-3 + x)(-4 + x) = 120

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(-3 + x)(-4 + x) = 120

Multiply (2 + -3x + x2) * (-3 + x)
(2(-3 + x) + -3x * (-3 + x) + x2(-3 + x))(-4 + x) = 120
((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x))(-4 + x) = 120
((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x))(-4 + x) = 120
(-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x))(-4 + x) = 120
(-6 + 2x + (9x + -3x2) + x2(-3 + x))(-4 + x) = 120
(-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2))(-4 + x) = 120
(-6 + 2x + 9x + -3x2 + (-3x2 + x3))(-4 + x) = 120

Combine like terms: 2x + 9x = 11x
(-6 + 11x + -3x2 + -3x2 + x3)(-4 + x) = 120

Combine like terms: -3x2 + -3x2 = -6x2
(-6 + 11x + -6x2 + x3)(-4 + x) = 120

Multiply (-6 + 11x + -6x2 + x3) * (-4 + x)
(-6(-4 + x) + 11x * (-4 + x) + -6x2 * (-4 + x) + x3(-4 + x)) = 120
((-4 * -6 + x * -6) + 11x * (-4 + x) + -6x2 * (-4 + x) + x3(-4 + x)) = 120
((24 + -6x) + 11x * (-4 + x) + -6x2 * (-4 + x) + x3(-4 + x)) = 120
(24 + -6x + (-4 * 11x + x * 11x) + -6x2 * (-4 + x) + x3(-4 + x)) = 120
(24 + -6x + (-44x + 11x2) + -6x2 * (-4 + x) + x3(-4 + x)) = 120
(24 + -6x + -44x + 11x2 + (-4 * -6x2 + x * -6x2) + x3(-4 + x)) = 120
(24 + -6x + -44x + 11x2 + (24x2 + -6x3) + x3(-4 + x)) = 120
(24 + -6x + -44x + 11x2 + 24x2 + -6x3 + (-4 * x3 + x * x3)) = 120
(24 + -6x + -44x + 11x2 + 24x2 + -6x3 + (-4x3 + x4)) = 120

Combine like terms: -6x + -44x = -50x
(24 + -50x + 11x2 + 24x2 + -6x3 + -4x3 + x4) = 120

Combine like terms: 11x2 + 24x2 = 35x2
(24 + -50x + 35x2 + -6x3 + -4x3 + x4) = 120

Combine like terms: -6x3 + -4x3 = -10x3
(24 + -50x + 35x2 + -10x3 + x4) = 120

Solving
24 + -50x + 35x2 + -10x3 + x4 = 120

Solving for variable 'x'.

Reorder the terms:
24 + -120 + -50x + 35x2 + -10x3 + x4 = 120 + -120

Combine like terms: 24 + -120 = -96
-96 + -50x + 35x2 + -10x3 + x4 = 120 + -120

Combine like terms: 120 + -120 = 0
-96 + -50x + 35x2 + -10x3 + x4 = 0

The solution to this equation could not be determined.

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