(x-1)(x-2)(x-4)(x-5)-54=0

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Solution for (x-1)(x-2)(x-4)(x-5)-54=0 equation: 


Simplifying
(x + -1)(x + -2)(x + -4)(x + -5) + -54 = 0

Reorder the terms:
(-1 + x)(x + -2)(x + -4)(x + -5) + -54 = 0

Reorder the terms:
(-1 + x)(-2 + x)(x + -4)(x + -5) + -54 = 0

Reorder the terms:
(-1 + x)(-2 + x)(-4 + x)(x + -5) + -54 = 0

Reorder the terms:
(-1 + x)(-2 + x)(-4 + x)(-5 + x) + -54 = 0

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(-4 + x)(-5 + x) + -54 = 0
((-2 * -1 + x * -1) + x(-2 + x))(-4 + x)(-5 + x) + -54 = 0
((2 + -1x) + x(-2 + x))(-4 + x)(-5 + x) + -54 = 0
(2 + -1x + (-2 * x + x * x))(-4 + x)(-5 + x) + -54 = 0
(2 + -1x + (-2x + x2))(-4 + x)(-5 + x) + -54 = 0

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(-4 + x)(-5 + x) + -54 = 0

Multiply (2 + -3x + x2) * (-4 + x)
(2(-4 + x) + -3x * (-4 + x) + x2(-4 + x))(-5 + x) + -54 = 0
((-4 * 2 + x * 2) + -3x * (-4 + x) + x2(-4 + x))(-5 + x) + -54 = 0
((-8 + 2x) + -3x * (-4 + x) + x2(-4 + x))(-5 + x) + -54 = 0
(-8 + 2x + (-4 * -3x + x * -3x) + x2(-4 + x))(-5 + x) + -54 = 0
(-8 + 2x + (12x + -3x2) + x2(-4 + x))(-5 + x) + -54 = 0
(-8 + 2x + 12x + -3x2 + (-4 * x2 + x * x2))(-5 + x) + -54 = 0
(-8 + 2x + 12x + -3x2 + (-4x2 + x3))(-5 + x) + -54 = 0

Combine like terms: 2x + 12x = 14x
(-8 + 14x + -3x2 + -4x2 + x3)(-5 + x) + -54 = 0

Combine like terms: -3x2 + -4x2 = -7x2
(-8 + 14x + -7x2 + x3)(-5 + x) + -54 = 0

Multiply (-8 + 14x + -7x2 + x3) * (-5 + x)
(-8(-5 + x) + 14x * (-5 + x) + -7x2 * (-5 + x) + x3(-5 + x)) + -54 = 0
((-5 * -8 + x * -8) + 14x * (-5 + x) + -7x2 * (-5 + x) + x3(-5 + x)) + -54 = 0
((40 + -8x) + 14x * (-5 + x) + -7x2 * (-5 + x) + x3(-5 + x)) + -54 = 0
(40 + -8x + (-5 * 14x + x * 14x) + -7x2 * (-5 + x) + x3(-5 + x)) + -54 = 0
(40 + -8x + (-70x + 14x2) + -7x2 * (-5 + x) + x3(-5 + x)) + -54 = 0
(40 + -8x + -70x + 14x2 + (-5 * -7x2 + x * -7x2) + x3(-5 + x)) + -54 = 0
(40 + -8x + -70x + 14x2 + (35x2 + -7x3) + x3(-5 + x)) + -54 = 0
(40 + -8x + -70x + 14x2 + 35x2 + -7x3 + (-5 * x3 + x * x3)) + -54 = 0
(40 + -8x + -70x + 14x2 + 35x2 + -7x3 + (-5x3 + x4)) + -54 = 0

Combine like terms: -8x + -70x = -78x
(40 + -78x + 14x2 + 35x2 + -7x3 + -5x3 + x4) + -54 = 0

Combine like terms: 14x2 + 35x2 = 49x2
(40 + -78x + 49x2 + -7x3 + -5x3 + x4) + -54 = 0

Combine like terms: -7x3 + -5x3 = -12x3
(40 + -78x + 49x2 + -12x3 + x4) + -54 = 0

Reorder the terms:
40 + -54 + -78x + 49x2 + -12x3 + x4 = 0

Combine like terms: 40 + -54 = -14
-14 + -78x + 49x2 + -12x3 + x4 = 0

Solving
-14 + -78x + 49x2 + -12x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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