X+1(x+2)(x-5)(x-6)-144=0

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Solution for X+1(x+2)(x-5)(x-6)-144=0 equation: 


Simplifying
X + 1(x + 2)(x + -5)(x + -6) + -144 = 0

Reorder the terms:
X + 1(2 + x)(x + -5)(x + -6) + -144 = 0

Reorder the terms:
X + 1(2 + x)(-5 + x)(x + -6) + -144 = 0

Reorder the terms:
X + 1(2 + x)(-5 + x)(-6 + x) + -144 = 0

Multiply (2 + x) * (-5 + x)
X + 1(2(-5 + x) + x(-5 + x))(-6 + x) + -144 = 0
X + 1((-5 * 2 + x * 2) + x(-5 + x))(-6 + x) + -144 = 0
X + 1((-10 + 2x) + x(-5 + x))(-6 + x) + -144 = 0
X + 1(-10 + 2x + (-5 * x + x * x))(-6 + x) + -144 = 0
X + 1(-10 + 2x + (-5x + x2))(-6 + x) + -144 = 0

Combine like terms: 2x + -5x = -3x
X + 1(-10 + -3x + x2)(-6 + x) + -144 = 0

Multiply (-10 + -3x + x2) * (-6 + x)
X + 1(-10(-6 + x) + -3x * (-6 + x) + x2(-6 + x)) + -144 = 0
X + 1((-6 * -10 + x * -10) + -3x * (-6 + x) + x2(-6 + x)) + -144 = 0
X + 1((60 + -10x) + -3x * (-6 + x) + x2(-6 + x)) + -144 = 0
X + 1(60 + -10x + (-6 * -3x + x * -3x) + x2(-6 + x)) + -144 = 0
X + 1(60 + -10x + (18x + -3x2) + x2(-6 + x)) + -144 = 0
X + 1(60 + -10x + 18x + -3x2 + (-6 * x2 + x * x2)) + -144 = 0
X + 1(60 + -10x + 18x + -3x2 + (-6x2 + x3)) + -144 = 0

Combine like terms: -10x + 18x = 8x
X + 1(60 + 8x + -3x2 + -6x2 + x3) + -144 = 0

Combine like terms: -3x2 + -6x2 = -9x2
X + 1(60 + 8x + -9x2 + x3) + -144 = 0
X + (60 * 1 + 8x * 1 + -9x2 * 1 + x3 * 1) + -144 = 0
X + (60 + 8x + -9x2 + 1x3) + -144 = 0

Reorder the terms:
60 + -144 + X + 8x + -9x2 + 1x3 = 0

Combine like terms: 60 + -144 = -84
-84 + X + 8x + -9x2 + 1x3 = 0

Solving
-84 + X + 8x + -9x2 + 1x3 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '84' to each side of the equation.
-84 + X + 8x + -9x2 + 84 + 1x3 = 0 + 84

Reorder the terms:
-84 + 84 + X + 8x + -9x2 + 1x3 = 0 + 84

Combine like terms: -84 + 84 = 0
0 + X + 8x + -9x2 + 1x3 = 0 + 84
X + 8x + -9x2 + 1x3 = 0 + 84

Combine like terms: 0 + 84 = 84
X + 8x + -9x2 + 1x3 = 84

Add '-8x' to each side of the equation.
X + 8x + -9x2 + -8x + 1x3 = 84 + -8x

Reorder the terms:
X + 8x + -8x + -9x2 + 1x3 = 84 + -8x

Combine like terms: 8x + -8x = 0
X + 0 + -9x2 + 1x3 = 84 + -8x
X + -9x2 + 1x3 = 84 + -8x

Add '9x2' to each side of the equation.
X + -9x2 + 9x2 + 1x3 = 84 + -8x + 9x2

Combine like terms: -9x2 + 9x2 = 0
X + 0 + 1x3 = 84 + -8x + 9x2
X + 1x3 = 84 + -8x + 9x2

Add '-1x3' to each side of the equation.
X + 1x3 + -1x3 = 84 + -8x + 9x2 + -1x3

Combine like terms: 1x3 + -1x3 = 0
X + 0 = 84 + -8x + 9x2 + -1x3
X = 84 + -8x + 9x2 + -1x3

Simplifying
X = 84 + -8x + 9x2 + -1x3

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