(x+4)(x-5)(x-6)(x-7)=504

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Solution for (x+4)(x-5)(x-6)(x-7)=504 equation: 


Simplifying
(x + 4)(x + -5)(x + -6)(x + -7) = 504

Reorder the terms:
(4 + x)(x + -5)(x + -6)(x + -7) = 504

Reorder the terms:
(4 + x)(-5 + x)(x + -6)(x + -7) = 504

Reorder the terms:
(4 + x)(-5 + x)(-6 + x)(x + -7) = 504

Reorder the terms:
(4 + x)(-5 + x)(-6 + x)(-7 + x) = 504

Multiply (4 + x) * (-5 + x)
(4(-5 + x) + x(-5 + x))(-6 + x)(-7 + x) = 504
((-5 * 4 + x * 4) + x(-5 + x))(-6 + x)(-7 + x) = 504
((-20 + 4x) + x(-5 + x))(-6 + x)(-7 + x) = 504
(-20 + 4x + (-5 * x + x * x))(-6 + x)(-7 + x) = 504
(-20 + 4x + (-5x + x2))(-6 + x)(-7 + x) = 504

Combine like terms: 4x + -5x = -1x
(-20 + -1x + x2)(-6 + x)(-7 + x) = 504

Multiply (-20 + -1x + x2) * (-6 + x)
(-20(-6 + x) + -1x * (-6 + x) + x2(-6 + x))(-7 + x) = 504
((-6 * -20 + x * -20) + -1x * (-6 + x) + x2(-6 + x))(-7 + x) = 504
((120 + -20x) + -1x * (-6 + x) + x2(-6 + x))(-7 + x) = 504
(120 + -20x + (-6 * -1x + x * -1x) + x2(-6 + x))(-7 + x) = 504
(120 + -20x + (6x + -1x2) + x2(-6 + x))(-7 + x) = 504
(120 + -20x + 6x + -1x2 + (-6 * x2 + x * x2))(-7 + x) = 504
(120 + -20x + 6x + -1x2 + (-6x2 + x3))(-7 + x) = 504

Combine like terms: -20x + 6x = -14x
(120 + -14x + -1x2 + -6x2 + x3)(-7 + x) = 504

Combine like terms: -1x2 + -6x2 = -7x2
(120 + -14x + -7x2 + x3)(-7 + x) = 504

Multiply (120 + -14x + -7x2 + x3) * (-7 + x)
(120(-7 + x) + -14x * (-7 + x) + -7x2 * (-7 + x) + x3(-7 + x)) = 504
((-7 * 120 + x * 120) + -14x * (-7 + x) + -7x2 * (-7 + x) + x3(-7 + x)) = 504
((-840 + 120x) + -14x * (-7 + x) + -7x2 * (-7 + x) + x3(-7 + x)) = 504
(-840 + 120x + (-7 * -14x + x * -14x) + -7x2 * (-7 + x) + x3(-7 + x)) = 504
(-840 + 120x + (98x + -14x2) + -7x2 * (-7 + x) + x3(-7 + x)) = 504
(-840 + 120x + 98x + -14x2 + (-7 * -7x2 + x * -7x2) + x3(-7 + x)) = 504
(-840 + 120x + 98x + -14x2 + (49x2 + -7x3) + x3(-7 + x)) = 504
(-840 + 120x + 98x + -14x2 + 49x2 + -7x3 + (-7 * x3 + x * x3)) = 504
(-840 + 120x + 98x + -14x2 + 49x2 + -7x3 + (-7x3 + x4)) = 504

Combine like terms: 120x + 98x = 218x
(-840 + 218x + -14x2 + 49x2 + -7x3 + -7x3 + x4) = 504

Combine like terms: -14x2 + 49x2 = 35x2
(-840 + 218x + 35x2 + -7x3 + -7x3 + x4) = 504

Combine like terms: -7x3 + -7x3 = -14x3
(-840 + 218x + 35x2 + -14x3 + x4) = 504

Solving
-840 + 218x + 35x2 + -14x3 + x4 = 504

Solving for variable 'x'.

Reorder the terms:
-840 + -504 + 218x + 35x2 + -14x3 + x4 = 504 + -504

Combine like terms: -840 + -504 = -1344
-1344 + 218x + 35x2 + -14x3 + x4 = 504 + -504

Combine like terms: 504 + -504 = 0
-1344 + 218x + 35x2 + -14x3 + x4 = 0

The solution to this equation could not be determined.

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