(x+1)(x+2)(x-5)(x-6)=144

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Solution for (x+1)(x+2)(x-5)(x-6)=144 equation: 


Simplifying
(x + 1)(x + 2)(x + -5)(x + -6) = 144

Reorder the terms:
(1 + x)(x + 2)(x + -5)(x + -6) = 144

Reorder the terms:
(1 + x)(2 + x)(x + -5)(x + -6) = 144

Reorder the terms:
(1 + x)(2 + x)(-5 + x)(x + -6) = 144

Reorder the terms:
(1 + x)(2 + x)(-5 + x)(-6 + x) = 144

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x))(-5 + x)(-6 + x) = 144
((2 * 1 + x * 1) + x(2 + x))(-5 + x)(-6 + x) = 144
((2 + 1x) + x(2 + x))(-5 + x)(-6 + x) = 144
(2 + 1x + (2 * x + x * x))(-5 + x)(-6 + x) = 144
(2 + 1x + (2x + x2))(-5 + x)(-6 + x) = 144

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2)(-5 + x)(-6 + x) = 144

Multiply (2 + 3x + x2) * (-5 + x)
(2(-5 + x) + 3x * (-5 + x) + x2(-5 + x))(-6 + x) = 144
((-5 * 2 + x * 2) + 3x * (-5 + x) + x2(-5 + x))(-6 + x) = 144
((-10 + 2x) + 3x * (-5 + x) + x2(-5 + x))(-6 + x) = 144
(-10 + 2x + (-5 * 3x + x * 3x) + x2(-5 + x))(-6 + x) = 144
(-10 + 2x + (-15x + 3x2) + x2(-5 + x))(-6 + x) = 144
(-10 + 2x + -15x + 3x2 + (-5 * x2 + x * x2))(-6 + x) = 144
(-10 + 2x + -15x + 3x2 + (-5x2 + x3))(-6 + x) = 144

Combine like terms: 2x + -15x = -13x
(-10 + -13x + 3x2 + -5x2 + x3)(-6 + x) = 144

Combine like terms: 3x2 + -5x2 = -2x2
(-10 + -13x + -2x2 + x3)(-6 + x) = 144

Multiply (-10 + -13x + -2x2 + x3) * (-6 + x)
(-10(-6 + x) + -13x * (-6 + x) + -2x2 * (-6 + x) + x3(-6 + x)) = 144
((-6 * -10 + x * -10) + -13x * (-6 + x) + -2x2 * (-6 + x) + x3(-6 + x)) = 144
((60 + -10x) + -13x * (-6 + x) + -2x2 * (-6 + x) + x3(-6 + x)) = 144
(60 + -10x + (-6 * -13x + x * -13x) + -2x2 * (-6 + x) + x3(-6 + x)) = 144
(60 + -10x + (78x + -13x2) + -2x2 * (-6 + x) + x3(-6 + x)) = 144
(60 + -10x + 78x + -13x2 + (-6 * -2x2 + x * -2x2) + x3(-6 + x)) = 144
(60 + -10x + 78x + -13x2 + (12x2 + -2x3) + x3(-6 + x)) = 144
(60 + -10x + 78x + -13x2 + 12x2 + -2x3 + (-6 * x3 + x * x3)) = 144
(60 + -10x + 78x + -13x2 + 12x2 + -2x3 + (-6x3 + x4)) = 144

Combine like terms: -10x + 78x = 68x
(60 + 68x + -13x2 + 12x2 + -2x3 + -6x3 + x4) = 144

Combine like terms: -13x2 + 12x2 = -1x2
(60 + 68x + -1x2 + -2x3 + -6x3 + x4) = 144

Combine like terms: -2x3 + -6x3 = -8x3
(60 + 68x + -1x2 + -8x3 + x4) = 144

Solving
60 + 68x + -1x2 + -8x3 + x4 = 144

Solving for variable 'x'.

Reorder the terms:
60 + -144 + 68x + -1x2 + -8x3 + x4 = 144 + -144

Combine like terms: 60 + -144 = -84
-84 + 68x + -1x2 + -8x3 + x4 = 144 + -144

Combine like terms: 144 + -144 = 0
-84 + 68x + -1x2 + -8x3 + x4 = 0

The solution to this equation could not be determined.

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