(x+5)(x+6)(x+7)(x+8)=3024

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Solution for (x+5)(x+6)(x+7)(x+8)=3024 equation: 


Simplifying
(x + 5)(x + 6)(x + 7)(x + 8) = 3024

Reorder the terms:
(5 + x)(x + 6)(x + 7)(x + 8) = 3024

Reorder the terms:
(5 + x)(6 + x)(x + 7)(x + 8) = 3024

Reorder the terms:
(5 + x)(6 + x)(7 + x)(x + 8) = 3024

Reorder the terms:
(5 + x)(6 + x)(7 + x)(8 + x) = 3024

Multiply (5 + x) * (6 + x)
(5(6 + x) + x(6 + x))(7 + x)(8 + x) = 3024
((6 * 5 + x * 5) + x(6 + x))(7 + x)(8 + x) = 3024
((30 + 5x) + x(6 + x))(7 + x)(8 + x) = 3024
(30 + 5x + (6 * x + x * x))(7 + x)(8 + x) = 3024
(30 + 5x + (6x + x2))(7 + x)(8 + x) = 3024

Combine like terms: 5x + 6x = 11x
(30 + 11x + x2)(7 + x)(8 + x) = 3024

Multiply (30 + 11x + x2) * (7 + x)
(30(7 + x) + 11x * (7 + x) + x2(7 + x))(8 + x) = 3024
((7 * 30 + x * 30) + 11x * (7 + x) + x2(7 + x))(8 + x) = 3024
((210 + 30x) + 11x * (7 + x) + x2(7 + x))(8 + x) = 3024
(210 + 30x + (7 * 11x + x * 11x) + x2(7 + x))(8 + x) = 3024
(210 + 30x + (77x + 11x2) + x2(7 + x))(8 + x) = 3024
(210 + 30x + 77x + 11x2 + (7 * x2 + x * x2))(8 + x) = 3024
(210 + 30x + 77x + 11x2 + (7x2 + x3))(8 + x) = 3024

Combine like terms: 30x + 77x = 107x
(210 + 107x + 11x2 + 7x2 + x3)(8 + x) = 3024

Combine like terms: 11x2 + 7x2 = 18x2
(210 + 107x + 18x2 + x3)(8 + x) = 3024

Multiply (210 + 107x + 18x2 + x3) * (8 + x)
(210(8 + x) + 107x * (8 + x) + 18x2 * (8 + x) + x3(8 + x)) = 3024
((8 * 210 + x * 210) + 107x * (8 + x) + 18x2 * (8 + x) + x3(8 + x)) = 3024
((1680 + 210x) + 107x * (8 + x) + 18x2 * (8 + x) + x3(8 + x)) = 3024
(1680 + 210x + (8 * 107x + x * 107x) + 18x2 * (8 + x) + x3(8 + x)) = 3024
(1680 + 210x + (856x + 107x2) + 18x2 * (8 + x) + x3(8 + x)) = 3024
(1680 + 210x + 856x + 107x2 + (8 * 18x2 + x * 18x2) + x3(8 + x)) = 3024
(1680 + 210x + 856x + 107x2 + (144x2 + 18x3) + x3(8 + x)) = 3024
(1680 + 210x + 856x + 107x2 + 144x2 + 18x3 + (8 * x3 + x * x3)) = 3024
(1680 + 210x + 856x + 107x2 + 144x2 + 18x3 + (8x3 + x4)) = 3024

Combine like terms: 210x + 856x = 1066x
(1680 + 1066x + 107x2 + 144x2 + 18x3 + 8x3 + x4) = 3024

Combine like terms: 107x2 + 144x2 = 251x2
(1680 + 1066x + 251x2 + 18x3 + 8x3 + x4) = 3024

Combine like terms: 18x3 + 8x3 = 26x3
(1680 + 1066x + 251x2 + 26x3 + x4) = 3024

Solving
1680 + 1066x + 251x2 + 26x3 + x4 = 3024

Solving for variable 'x'.

Reorder the terms:
1680 + -3024 + 1066x + 251x2 + 26x3 + x4 = 3024 + -3024

Combine like terms: 1680 + -3024 = -1344
-1344 + 1066x + 251x2 + 26x3 + x4 = 3024 + -3024

Combine like terms: 3024 + -3024 = 0
-1344 + 1066x + 251x2 + 26x3 + x4 = 0

The solution to this equation could not be determined.

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