(x-1)(x-2)(x-7)(x-8)=720

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Solution for (x-1)(x-2)(x-7)(x-8)=720 equation: 


Simplifying
(x + -1)(x + -2)(x + -7)(x + -8) = 720

Reorder the terms:
(-1 + x)(x + -2)(x + -7)(x + -8) = 720

Reorder the terms:
(-1 + x)(-2 + x)(x + -7)(x + -8) = 720

Reorder the terms:
(-1 + x)(-2 + x)(-7 + x)(x + -8) = 720

Reorder the terms:
(-1 + x)(-2 + x)(-7 + x)(-8 + x) = 720

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(-7 + x)(-8 + x) = 720
((-2 * -1 + x * -1) + x(-2 + x))(-7 + x)(-8 + x) = 720
((2 + -1x) + x(-2 + x))(-7 + x)(-8 + x) = 720
(2 + -1x + (-2 * x + x * x))(-7 + x)(-8 + x) = 720
(2 + -1x + (-2x + x2))(-7 + x)(-8 + x) = 720

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(-7 + x)(-8 + x) = 720

Multiply (2 + -3x + x2) * (-7 + x)
(2(-7 + x) + -3x * (-7 + x) + x2(-7 + x))(-8 + x) = 720
((-7 * 2 + x * 2) + -3x * (-7 + x) + x2(-7 + x))(-8 + x) = 720
((-14 + 2x) + -3x * (-7 + x) + x2(-7 + x))(-8 + x) = 720
(-14 + 2x + (-7 * -3x + x * -3x) + x2(-7 + x))(-8 + x) = 720
(-14 + 2x + (21x + -3x2) + x2(-7 + x))(-8 + x) = 720
(-14 + 2x + 21x + -3x2 + (-7 * x2 + x * x2))(-8 + x) = 720
(-14 + 2x + 21x + -3x2 + (-7x2 + x3))(-8 + x) = 720

Combine like terms: 2x + 21x = 23x
(-14 + 23x + -3x2 + -7x2 + x3)(-8 + x) = 720

Combine like terms: -3x2 + -7x2 = -10x2
(-14 + 23x + -10x2 + x3)(-8 + x) = 720

Multiply (-14 + 23x + -10x2 + x3) * (-8 + x)
(-14(-8 + x) + 23x * (-8 + x) + -10x2 * (-8 + x) + x3(-8 + x)) = 720
((-8 * -14 + x * -14) + 23x * (-8 + x) + -10x2 * (-8 + x) + x3(-8 + x)) = 720
((112 + -14x) + 23x * (-8 + x) + -10x2 * (-8 + x) + x3(-8 + x)) = 720
(112 + -14x + (-8 * 23x + x * 23x) + -10x2 * (-8 + x) + x3(-8 + x)) = 720
(112 + -14x + (-184x + 23x2) + -10x2 * (-8 + x) + x3(-8 + x)) = 720
(112 + -14x + -184x + 23x2 + (-8 * -10x2 + x * -10x2) + x3(-8 + x)) = 720
(112 + -14x + -184x + 23x2 + (80x2 + -10x3) + x3(-8 + x)) = 720
(112 + -14x + -184x + 23x2 + 80x2 + -10x3 + (-8 * x3 + x * x3)) = 720
(112 + -14x + -184x + 23x2 + 80x2 + -10x3 + (-8x3 + x4)) = 720

Combine like terms: -14x + -184x = -198x
(112 + -198x + 23x2 + 80x2 + -10x3 + -8x3 + x4) = 720

Combine like terms: 23x2 + 80x2 = 103x2
(112 + -198x + 103x2 + -10x3 + -8x3 + x4) = 720

Combine like terms: -10x3 + -8x3 = -18x3
(112 + -198x + 103x2 + -18x3 + x4) = 720

Solving
112 + -198x + 103x2 + -18x3 + x4 = 720

Solving for variable 'x'.

Reorder the terms:
112 + -720 + -198x + 103x2 + -18x3 + x4 = 720 + -720

Combine like terms: 112 + -720 = -608
-608 + -198x + 103x2 + -18x3 + x4 = 720 + -720

Combine like terms: 720 + -720 = 0
-608 + -198x + 103x2 + -18x3 + x4 = 0

The solution to this equation could not be determined.

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