(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 = -26x
(-120 + -26x + -1x2 + 6x2 + x3)(-7 + x) = 504

Combine like terms: -1x2 + 6x2 = 5x2
(-120 + -26x + 5x2 + x3)(-7 + x) = 504

Multiply (-120 + -26x + 5x2 + x3) * (-7 + x)
(-120(-7 + x) + -26x * (-7 + x) + 5x2 * (-7 + x) + x3(-7 + x)) = 504
((-7 * -120 + x * -120) + -26x * (-7 + x) + 5x2 * (-7 + x) + x3(-7 + x)) = 504
((840 + -120x) + -26x * (-7 + x) + 5x2 * (-7 + x) + x3(-7 + x)) = 504
(840 + -120x + (-7 * -26x + x * -26x) + 5x2 * (-7 + x) + x3(-7 + x)) = 504
(840 + -120x + (182x + -26x2) + 5x2 * (-7 + x) + x3(-7 + x)) = 504
(840 + -120x + 182x + -26x2 + (-7 * 5x2 + x * 5x2) + x3(-7 + x)) = 504
(840 + -120x + 182x + -26x2 + (-35x2 + 5x3) + x3(-7 + x)) = 504
(840 + -120x + 182x + -26x2 + -35x2 + 5x3 + (-7 * x3 + x * x3)) = 504
(840 + -120x + 182x + -26x2 + -35x2 + 5x3 + (-7x3 + x4)) = 504

Combine like terms: -120x + 182x = 62x
(840 + 62x + -26x2 + -35x2 + 5x3 + -7x3 + x4) = 504

Combine like terms: -26x2 + -35x2 = -61x2
(840 + 62x + -61x2 + 5x3 + -7x3 + x4) = 504

Combine like terms: 5x3 + -7x3 = -2x3
(840 + 62x + -61x2 + -2x3 + x4) = 504

Solving
840 + 62x + -61x2 + -2x3 + x4 = 504

Solving for variable 'x'.

Reorder the terms:
840 + -504 + 62x + -61x2 + -2x3 + x4 = 504 + -504

Combine like terms: 840 + -504 = 336
336 + 62x + -61x2 + -2x3 + x4 = 504 + -504

Combine like terms: 504 + -504 = 0
336 + 62x + -61x2 + -2x3 + x4 = 0

The solution to this equation could not be determined.

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