(x-4)(x-5)(x-6)(x-7)=0

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Solution for (x-4)(x-5)(x-6)(x-7)=0 equation: 


Simplifying
(x + -4)(x + -5)(x + -6)(x + -7) = 0

Reorder the terms:
(-4 + x)(x + -5)(x + -6)(x + -7) = 0

Reorder the terms:
(-4 + x)(-5 + x)(x + -6)(x + -7) = 0

Reorder the terms:
(-4 + x)(-5 + x)(-6 + x)(x + -7) = 0

Reorder the terms:
(-4 + x)(-5 + x)(-6 + x)(-7 + x) = 0

Multiply (-4 + x) * (-5 + x)
(-4(-5 + x) + x(-5 + x))(-6 + x)(-7 + x) = 0
((-5 * -4 + x * -4) + x(-5 + x))(-6 + x)(-7 + x) = 0
((20 + -4x) + x(-5 + x))(-6 + x)(-7 + x) = 0
(20 + -4x + (-5 * x + x * x))(-6 + x)(-7 + x) = 0
(20 + -4x + (-5x + x2))(-6 + x)(-7 + x) = 0

Combine like terms: -4x + -5x = -9x
(20 + -9x + x2)(-6 + x)(-7 + x) = 0

Multiply (20 + -9x + x2) * (-6 + x)
(20(-6 + x) + -9x * (-6 + x) + x2(-6 + x))(-7 + x) = 0
((-6 * 20 + x * 20) + -9x * (-6 + x) + x2(-6 + x))(-7 + x) = 0
((-120 + 20x) + -9x * (-6 + x) + x2(-6 + x))(-7 + x) = 0
(-120 + 20x + (-6 * -9x + x * -9x) + x2(-6 + x))(-7 + x) = 0
(-120 + 20x + (54x + -9x2) + x2(-6 + x))(-7 + x) = 0
(-120 + 20x + 54x + -9x2 + (-6 * x2 + x * x2))(-7 + x) = 0
(-120 + 20x + 54x + -9x2 + (-6x2 + x3))(-7 + x) = 0

Combine like terms: 20x + 54x = 74x
(-120 + 74x + -9x2 + -6x2 + x3)(-7 + x) = 0

Combine like terms: -9x2 + -6x2 = -15x2
(-120 + 74x + -15x2 + x3)(-7 + x) = 0

Multiply (-120 + 74x + -15x2 + x3) * (-7 + x)
(-120(-7 + x) + 74x * (-7 + x) + -15x2 * (-7 + x) + x3(-7 + x)) = 0
((-7 * -120 + x * -120) + 74x * (-7 + x) + -15x2 * (-7 + x) + x3(-7 + x)) = 0
((840 + -120x) + 74x * (-7 + x) + -15x2 * (-7 + x) + x3(-7 + x)) = 0
(840 + -120x + (-7 * 74x + x * 74x) + -15x2 * (-7 + x) + x3(-7 + x)) = 0
(840 + -120x + (-518x + 74x2) + -15x2 * (-7 + x) + x3(-7 + x)) = 0
(840 + -120x + -518x + 74x2 + (-7 * -15x2 + x * -15x2) + x3(-7 + x)) = 0
(840 + -120x + -518x + 74x2 + (105x2 + -15x3) + x3(-7 + x)) = 0
(840 + -120x + -518x + 74x2 + 105x2 + -15x3 + (-7 * x3 + x * x3)) = 0
(840 + -120x + -518x + 74x2 + 105x2 + -15x3 + (-7x3 + x4)) = 0

Combine like terms: -120x + -518x = -638x
(840 + -638x + 74x2 + 105x2 + -15x3 + -7x3 + x4) = 0

Combine like terms: 74x2 + 105x2 = 179x2
(840 + -638x + 179x2 + -15x3 + -7x3 + x4) = 0

Combine like terms: -15x3 + -7x3 = -22x3
(840 + -638x + 179x2 + -22x3 + x4) = 0

Solving
840 + -638x + 179x2 + -22x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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