(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 = 107x
(210 + 107x + 12x2 + 6x2 + x3)(4 + x) = 504

Combine like terms: 12x2 + 6x2 = 18x2
(210 + 107x + 18x2 + x3)(4 + x) = 504

Multiply (210 + 107x + 18x2 + x3) * (4 + x)
(210(4 + x) + 107x * (4 + x) + 18x2 * (4 + x) + x3(4 + x)) = 504
((4 * 210 + x * 210) + 107x * (4 + x) + 18x2 * (4 + x) + x3(4 + x)) = 504
((840 + 210x) + 107x * (4 + x) + 18x2 * (4 + x) + x3(4 + x)) = 504
(840 + 210x + (4 * 107x + x * 107x) + 18x2 * (4 + x) + x3(4 + x)) = 504
(840 + 210x + (428x + 107x2) + 18x2 * (4 + x) + x3(4 + x)) = 504
(840 + 210x + 428x + 107x2 + (4 * 18x2 + x * 18x2) + x3(4 + x)) = 504
(840 + 210x + 428x + 107x2 + (72x2 + 18x3) + x3(4 + x)) = 504
(840 + 210x + 428x + 107x2 + 72x2 + 18x3 + (4 * x3 + x * x3)) = 504
(840 + 210x + 428x + 107x2 + 72x2 + 18x3 + (4x3 + x4)) = 504

Combine like terms: 210x + 428x = 638x
(840 + 638x + 107x2 + 72x2 + 18x3 + 4x3 + x4) = 504

Combine like terms: 107x2 + 72x2 = 179x2
(840 + 638x + 179x2 + 18x3 + 4x3 + x4) = 504

Combine like terms: 18x3 + 4x3 = 22x3
(840 + 638x + 179x2 + 22x3 + x4) = 504

Solving
840 + 638x + 179x2 + 22x3 + x4 = 504

Solving for variable 'x'.

Reorder the terms:
840 + -504 + 638x + 179x2 + 22x3 + x4 = 504 + -504

Combine like terms: 840 + -504 = 336
336 + 638x + 179x2 + 22x3 + x4 = 504 + -504

Combine like terms: 504 + -504 = 0
336 + 638x + 179x2 + 22x3 + x4 = 0

The solution to this equation could not be determined.

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