(x-3)(x-4)(x-7)(x-8)=60

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Solution for (x-3)(x-4)(x-7)(x-8)=60 equation: 


Simplifying
(x + -3)(x + -4)(x + -7)(x + -8) = 60

Reorder the terms:
(-3 + x)(x + -4)(x + -7)(x + -8) = 60

Reorder the terms:
(-3 + x)(-4 + x)(x + -7)(x + -8) = 60

Reorder the terms:
(-3 + x)(-4 + x)(-7 + x)(x + -8) = 60

Reorder the terms:
(-3 + x)(-4 + x)(-7 + x)(-8 + x) = 60

Multiply (-3 + x) * (-4 + x)
(-3(-4 + x) + x(-4 + x))(-7 + x)(-8 + x) = 60
((-4 * -3 + x * -3) + x(-4 + x))(-7 + x)(-8 + x) = 60
((12 + -3x) + x(-4 + x))(-7 + x)(-8 + x) = 60
(12 + -3x + (-4 * x + x * x))(-7 + x)(-8 + x) = 60
(12 + -3x + (-4x + x2))(-7 + x)(-8 + x) = 60

Combine like terms: -3x + -4x = -7x
(12 + -7x + x2)(-7 + x)(-8 + x) = 60

Multiply (12 + -7x + x2) * (-7 + x)
(12(-7 + x) + -7x * (-7 + x) + x2(-7 + x))(-8 + x) = 60
((-7 * 12 + x * 12) + -7x * (-7 + x) + x2(-7 + x))(-8 + x) = 60
((-84 + 12x) + -7x * (-7 + x) + x2(-7 + x))(-8 + x) = 60
(-84 + 12x + (-7 * -7x + x * -7x) + x2(-7 + x))(-8 + x) = 60
(-84 + 12x + (49x + -7x2) + x2(-7 + x))(-8 + x) = 60
(-84 + 12x + 49x + -7x2 + (-7 * x2 + x * x2))(-8 + x) = 60
(-84 + 12x + 49x + -7x2 + (-7x2 + x3))(-8 + x) = 60

Combine like terms: 12x + 49x = 61x
(-84 + 61x + -7x2 + -7x2 + x3)(-8 + x) = 60

Combine like terms: -7x2 + -7x2 = -14x2
(-84 + 61x + -14x2 + x3)(-8 + x) = 60

Multiply (-84 + 61x + -14x2 + x3) * (-8 + x)
(-84(-8 + x) + 61x * (-8 + x) + -14x2 * (-8 + x) + x3(-8 + x)) = 60
((-8 * -84 + x * -84) + 61x * (-8 + x) + -14x2 * (-8 + x) + x3(-8 + x)) = 60
((672 + -84x) + 61x * (-8 + x) + -14x2 * (-8 + x) + x3(-8 + x)) = 60
(672 + -84x + (-8 * 61x + x * 61x) + -14x2 * (-8 + x) + x3(-8 + x)) = 60
(672 + -84x + (-488x + 61x2) + -14x2 * (-8 + x) + x3(-8 + x)) = 60
(672 + -84x + -488x + 61x2 + (-8 * -14x2 + x * -14x2) + x3(-8 + x)) = 60
(672 + -84x + -488x + 61x2 + (112x2 + -14x3) + x3(-8 + x)) = 60
(672 + -84x + -488x + 61x2 + 112x2 + -14x3 + (-8 * x3 + x * x3)) = 60
(672 + -84x + -488x + 61x2 + 112x2 + -14x3 + (-8x3 + x4)) = 60

Combine like terms: -84x + -488x = -572x
(672 + -572x + 61x2 + 112x2 + -14x3 + -8x3 + x4) = 60

Combine like terms: 61x2 + 112x2 = 173x2
(672 + -572x + 173x2 + -14x3 + -8x3 + x4) = 60

Combine like terms: -14x3 + -8x3 = -22x3
(672 + -572x + 173x2 + -22x3 + x4) = 60

Solving
672 + -572x + 173x2 + -22x3 + x4 = 60

Solving for variable 'x'.

Reorder the terms:
672 + -60 + -572x + 173x2 + -22x3 + x4 = 60 + -60

Combine like terms: 672 + -60 = 612
612 + -572x + 173x2 + -22x3 + x4 = 60 + -60

Combine like terms: 60 + -60 = 0
612 + -572x + 173x2 + -22x3 + x4 = 0

The solution to this equation could not be determined.

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