(x+3)(x+4)(x+6)(x+7)=1120

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Solution for (x+3)(x+4)(x+6)(x+7)=1120 equation: 


Simplifying
(x + 3)(x + 4)(x + 6)(x + 7) = 1120

Reorder the terms:
(3 + x)(x + 4)(x + 6)(x + 7) = 1120

Reorder the terms:
(3 + x)(4 + x)(x + 6)(x + 7) = 1120

Reorder the terms:
(3 + x)(4 + x)(6 + x)(x + 7) = 1120

Reorder the terms:
(3 + x)(4 + x)(6 + x)(7 + x) = 1120

Multiply (3 + x) * (4 + x)
(3(4 + x) + x(4 + x))(6 + x)(7 + x) = 1120
((4 * 3 + x * 3) + x(4 + x))(6 + x)(7 + x) = 1120
((12 + 3x) + x(4 + x))(6 + x)(7 + x) = 1120
(12 + 3x + (4 * x + x * x))(6 + x)(7 + x) = 1120
(12 + 3x + (4x + x2))(6 + x)(7 + x) = 1120

Combine like terms: 3x + 4x = 7x
(12 + 7x + x2)(6 + x)(7 + x) = 1120

Multiply (12 + 7x + x2) * (6 + x)
(12(6 + x) + 7x * (6 + x) + x2(6 + x))(7 + x) = 1120
((6 * 12 + x * 12) + 7x * (6 + x) + x2(6 + x))(7 + x) = 1120
((72 + 12x) + 7x * (6 + x) + x2(6 + x))(7 + x) = 1120
(72 + 12x + (6 * 7x + x * 7x) + x2(6 + x))(7 + x) = 1120
(72 + 12x + (42x + 7x2) + x2(6 + x))(7 + x) = 1120
(72 + 12x + 42x + 7x2 + (6 * x2 + x * x2))(7 + x) = 1120
(72 + 12x + 42x + 7x2 + (6x2 + x3))(7 + x) = 1120

Combine like terms: 12x + 42x = 54x
(72 + 54x + 7x2 + 6x2 + x3)(7 + x) = 1120

Combine like terms: 7x2 + 6x2 = 13x2
(72 + 54x + 13x2 + x3)(7 + x) = 1120

Multiply (72 + 54x + 13x2 + x3) * (7 + x)
(72(7 + x) + 54x * (7 + x) + 13x2 * (7 + x) + x3(7 + x)) = 1120
((7 * 72 + x * 72) + 54x * (7 + x) + 13x2 * (7 + x) + x3(7 + x)) = 1120
((504 + 72x) + 54x * (7 + x) + 13x2 * (7 + x) + x3(7 + x)) = 1120
(504 + 72x + (7 * 54x + x * 54x) + 13x2 * (7 + x) + x3(7 + x)) = 1120
(504 + 72x + (378x + 54x2) + 13x2 * (7 + x) + x3(7 + x)) = 1120
(504 + 72x + 378x + 54x2 + (7 * 13x2 + x * 13x2) + x3(7 + x)) = 1120
(504 + 72x + 378x + 54x2 + (91x2 + 13x3) + x3(7 + x)) = 1120
(504 + 72x + 378x + 54x2 + 91x2 + 13x3 + (7 * x3 + x * x3)) = 1120
(504 + 72x + 378x + 54x2 + 91x2 + 13x3 + (7x3 + x4)) = 1120

Combine like terms: 72x + 378x = 450x
(504 + 450x + 54x2 + 91x2 + 13x3 + 7x3 + x4) = 1120

Combine like terms: 54x2 + 91x2 = 145x2
(504 + 450x + 145x2 + 13x3 + 7x3 + x4) = 1120

Combine like terms: 13x3 + 7x3 = 20x3
(504 + 450x + 145x2 + 20x3 + x4) = 1120

Solving
504 + 450x + 145x2 + 20x3 + x4 = 1120

Solving for variable 'x'.

Reorder the terms:
504 + -1120 + 450x + 145x2 + 20x3 + x4 = 1120 + -1120

Combine like terms: 504 + -1120 = -616
-616 + 450x + 145x2 + 20x3 + x4 = 1120 + -1120

Combine like terms: 1120 + -1120 = 0
-616 + 450x + 145x2 + 20x3 + x4 = 0

The solution to this equation could not be determined.

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