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

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


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

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

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

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

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

Multiply (-5 + x) * (-7 + x)
(-5(-7 + x) + x(-7 + x))(6 + x)(4 + x) = 504
((-7 * -5 + x * -5) + x(-7 + x))(6 + x)(4 + x) = 504
((35 + -5x) + x(-7 + x))(6 + x)(4 + x) = 504
(35 + -5x + (-7 * x + x * x))(6 + x)(4 + x) = 504
(35 + -5x + (-7x + x2))(6 + x)(4 + x) = 504

Combine like terms: -5x + -7x = -12x
(35 + -12x + x2)(6 + x)(4 + x) = 504

Multiply (35 + -12x + x2) * (6 + x)
(35(6 + x) + -12x * (6 + x) + x2(6 + x))(4 + x) = 504
((6 * 35 + x * 35) + -12x * (6 + x) + x2(6 + x))(4 + x) = 504
((210 + 35x) + -12x * (6 + x) + x2(6 + x))(4 + x) = 504
(210 + 35x + (6 * -12x + x * -12x) + x2(6 + x))(4 + x) = 504
(210 + 35x + (-72x + -12x2) + x2(6 + x))(4 + x) = 504
(210 + 35x + -72x + -12x2 + (6 * x2 + x * x2))(4 + x) = 504
(210 + 35x + -72x + -12x2 + (6x2 + x3))(4 + x) = 504

Combine like terms: 35x + -72x = -37x
(210 + -37x + -12x2 + 6x2 + x3)(4 + x) = 504

Combine like terms: -12x2 + 6x2 = -6x2
(210 + -37x + -6x2 + x3)(4 + x) = 504

Multiply (210 + -37x + -6x2 + x3) * (4 + x)
(210(4 + x) + -37x * (4 + x) + -6x2 * (4 + x) + x3(4 + x)) = 504
((4 * 210 + x * 210) + -37x * (4 + x) + -6x2 * (4 + x) + x3(4 + x)) = 504
((840 + 210x) + -37x * (4 + x) + -6x2 * (4 + x) + x3(4 + x)) = 504
(840 + 210x + (4 * -37x + x * -37x) + -6x2 * (4 + x) + x3(4 + x)) = 504
(840 + 210x + (-148x + -37x2) + -6x2 * (4 + x) + x3(4 + x)) = 504
(840 + 210x + -148x + -37x2 + (4 * -6x2 + x * -6x2) + x3(4 + x)) = 504
(840 + 210x + -148x + -37x2 + (-24x2 + -6x3) + x3(4 + x)) = 504
(840 + 210x + -148x + -37x2 + -24x2 + -6x3 + (4 * x3 + x * x3)) = 504
(840 + 210x + -148x + -37x2 + -24x2 + -6x3 + (4x3 + x4)) = 504

Combine like terms: 210x + -148x = 62x
(840 + 62x + -37x2 + -24x2 + -6x3 + 4x3 + x4) = 504

Combine like terms: -37x2 + -24x2 = -61x2
(840 + 62x + -61x2 + -6x3 + 4x3 + x4) = 504

Combine like terms: -6x3 + 4x3 = -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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