(x-1)(x-2)(x-5)(x-6)=252

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Solution for (x-1)(x-2)(x-5)(x-6)=252 equation: 


Simplifying
(x + -1)(x + -2)(x + -5)(x + -6) = 252

Reorder the terms:
(-1 + x)(x + -2)(x + -5)(x + -6) = 252

Reorder the terms:
(-1 + x)(-2 + x)(x + -5)(x + -6) = 252

Reorder the terms:
(-1 + x)(-2 + x)(-5 + x)(x + -6) = 252

Reorder the terms:
(-1 + x)(-2 + x)(-5 + x)(-6 + x) = 252

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(-5 + x)(-6 + x) = 252
((-2 * -1 + x * -1) + x(-2 + x))(-5 + x)(-6 + x) = 252
((2 + -1x) + x(-2 + x))(-5 + x)(-6 + x) = 252
(2 + -1x + (-2 * x + x * x))(-5 + x)(-6 + x) = 252
(2 + -1x + (-2x + x2))(-5 + x)(-6 + x) = 252

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(-5 + x)(-6 + x) = 252

Multiply (2 + -3x + x2) * (-5 + x)
(2(-5 + x) + -3x * (-5 + x) + x2(-5 + x))(-6 + x) = 252
((-5 * 2 + x * 2) + -3x * (-5 + x) + x2(-5 + x))(-6 + x) = 252
((-10 + 2x) + -3x * (-5 + x) + x2(-5 + x))(-6 + x) = 252
(-10 + 2x + (-5 * -3x + x * -3x) + x2(-5 + x))(-6 + x) = 252
(-10 + 2x + (15x + -3x2) + x2(-5 + x))(-6 + x) = 252
(-10 + 2x + 15x + -3x2 + (-5 * x2 + x * x2))(-6 + x) = 252
(-10 + 2x + 15x + -3x2 + (-5x2 + x3))(-6 + x) = 252

Combine like terms: 2x + 15x = 17x
(-10 + 17x + -3x2 + -5x2 + x3)(-6 + x) = 252

Combine like terms: -3x2 + -5x2 = -8x2
(-10 + 17x + -8x2 + x3)(-6 + x) = 252

Multiply (-10 + 17x + -8x2 + x3) * (-6 + x)
(-10(-6 + x) + 17x * (-6 + x) + -8x2 * (-6 + x) + x3(-6 + x)) = 252
((-6 * -10 + x * -10) + 17x * (-6 + x) + -8x2 * (-6 + x) + x3(-6 + x)) = 252
((60 + -10x) + 17x * (-6 + x) + -8x2 * (-6 + x) + x3(-6 + x)) = 252
(60 + -10x + (-6 * 17x + x * 17x) + -8x2 * (-6 + x) + x3(-6 + x)) = 252
(60 + -10x + (-102x + 17x2) + -8x2 * (-6 + x) + x3(-6 + x)) = 252
(60 + -10x + -102x + 17x2 + (-6 * -8x2 + x * -8x2) + x3(-6 + x)) = 252
(60 + -10x + -102x + 17x2 + (48x2 + -8x3) + x3(-6 + x)) = 252
(60 + -10x + -102x + 17x2 + 48x2 + -8x3 + (-6 * x3 + x * x3)) = 252
(60 + -10x + -102x + 17x2 + 48x2 + -8x3 + (-6x3 + x4)) = 252

Combine like terms: -10x + -102x = -112x
(60 + -112x + 17x2 + 48x2 + -8x3 + -6x3 + x4) = 252

Combine like terms: 17x2 + 48x2 = 65x2
(60 + -112x + 65x2 + -8x3 + -6x3 + x4) = 252

Combine like terms: -8x3 + -6x3 = -14x3
(60 + -112x + 65x2 + -14x3 + x4) = 252

Solving
60 + -112x + 65x2 + -14x3 + x4 = 252

Solving for variable 'x'.

Reorder the terms:
60 + -252 + -112x + 65x2 + -14x3 + x4 = 252 + -252

Combine like terms: 60 + -252 = -192
-192 + -112x + 65x2 + -14x3 + x4 = 252 + -252

Combine like terms: 252 + -252 = 0
-192 + -112x + 65x2 + -14x3 + x4 = 0

The solution to this equation could not be determined.

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