(x+2)(x+3)(x-7)(x-8)=144

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Solution for (x+2)(x+3)(x-7)(x-8)=144 equation: 


Simplifying
(x + 2)(x + 3)(x + -7)(x + -8) = 144

Reorder the terms:
(2 + x)(x + 3)(x + -7)(x + -8) = 144

Reorder the terms:
(2 + x)(3 + x)(x + -7)(x + -8) = 144

Reorder the terms:
(2 + x)(3 + x)(-7 + x)(x + -8) = 144

Reorder the terms:
(2 + x)(3 + x)(-7 + x)(-8 + x) = 144

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(-7 + x)(-8 + x) = 144
((3 * 2 + x * 2) + x(3 + x))(-7 + x)(-8 + x) = 144
((6 + 2x) + x(3 + x))(-7 + x)(-8 + x) = 144
(6 + 2x + (3 * x + x * x))(-7 + x)(-8 + x) = 144
(6 + 2x + (3x + x2))(-7 + x)(-8 + x) = 144

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(-7 + x)(-8 + x) = 144

Multiply (6 + 5x + x2) * (-7 + x)
(6(-7 + x) + 5x * (-7 + x) + x2(-7 + x))(-8 + x) = 144
((-7 * 6 + x * 6) + 5x * (-7 + x) + x2(-7 + x))(-8 + x) = 144
((-42 + 6x) + 5x * (-7 + x) + x2(-7 + x))(-8 + x) = 144
(-42 + 6x + (-7 * 5x + x * 5x) + x2(-7 + x))(-8 + x) = 144
(-42 + 6x + (-35x + 5x2) + x2(-7 + x))(-8 + x) = 144
(-42 + 6x + -35x + 5x2 + (-7 * x2 + x * x2))(-8 + x) = 144
(-42 + 6x + -35x + 5x2 + (-7x2 + x3))(-8 + x) = 144

Combine like terms: 6x + -35x = -29x
(-42 + -29x + 5x2 + -7x2 + x3)(-8 + x) = 144

Combine like terms: 5x2 + -7x2 = -2x2
(-42 + -29x + -2x2 + x3)(-8 + x) = 144

Multiply (-42 + -29x + -2x2 + x3) * (-8 + x)
(-42(-8 + x) + -29x * (-8 + x) + -2x2 * (-8 + x) + x3(-8 + x)) = 144
((-8 * -42 + x * -42) + -29x * (-8 + x) + -2x2 * (-8 + x) + x3(-8 + x)) = 144
((336 + -42x) + -29x * (-8 + x) + -2x2 * (-8 + x) + x3(-8 + x)) = 144
(336 + -42x + (-8 * -29x + x * -29x) + -2x2 * (-8 + x) + x3(-8 + x)) = 144
(336 + -42x + (232x + -29x2) + -2x2 * (-8 + x) + x3(-8 + x)) = 144
(336 + -42x + 232x + -29x2 + (-8 * -2x2 + x * -2x2) + x3(-8 + x)) = 144
(336 + -42x + 232x + -29x2 + (16x2 + -2x3) + x3(-8 + x)) = 144
(336 + -42x + 232x + -29x2 + 16x2 + -2x3 + (-8 * x3 + x * x3)) = 144
(336 + -42x + 232x + -29x2 + 16x2 + -2x3 + (-8x3 + x4)) = 144

Combine like terms: -42x + 232x = 190x
(336 + 190x + -29x2 + 16x2 + -2x3 + -8x3 + x4) = 144

Combine like terms: -29x2 + 16x2 = -13x2
(336 + 190x + -13x2 + -2x3 + -8x3 + x4) = 144

Combine like terms: -2x3 + -8x3 = -10x3
(336 + 190x + -13x2 + -10x3 + x4) = 144

Solving
336 + 190x + -13x2 + -10x3 + x4 = 144

Solving for variable 'x'.

Reorder the terms:
336 + -144 + 190x + -13x2 + -10x3 + x4 = 144 + -144

Combine like terms: 336 + -144 = 192
192 + 190x + -13x2 + -10x3 + x4 = 144 + -144

Combine like terms: 144 + -144 = 0
192 + 190x + -13x2 + -10x3 + x4 = 0

The solution to this equation could not be determined.

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