(x+6)(x+8)(x+7)(x+2)=3640

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Solution for (x+6)(x+8)(x+7)(x+2)=3640 equation:


Simplifying
(x + 6)(x + 8)(x + 7)(x + 2) = 3640

Reorder the terms:
(6 + x)(x + 8)(x + 7)(x + 2) = 3640

Reorder the terms:
(6 + x)(8 + x)(x + 7)(x + 2) = 3640

Reorder the terms:
(6 + x)(8 + x)(7 + x)(x + 2) = 3640

Reorder the terms:
(6 + x)(8 + x)(7 + x)(2 + x) = 3640

Multiply (6 + x) * (8 + x)
(6(8 + x) + x(8 + x))(7 + x)(2 + x) = 3640
((8 * 6 + x * 6) + x(8 + x))(7 + x)(2 + x) = 3640
((48 + 6x) + x(8 + x))(7 + x)(2 + x) = 3640
(48 + 6x + (8 * x + x * x))(7 + x)(2 + x) = 3640
(48 + 6x + (8x + x2))(7 + x)(2 + x) = 3640

Combine like terms: 6x + 8x = 14x
(48 + 14x + x2)(7 + x)(2 + x) = 3640

Multiply (48 + 14x + x2) * (7 + x)
(48(7 + x) + 14x * (7 + x) + x2(7 + x))(2 + x) = 3640
((7 * 48 + x * 48) + 14x * (7 + x) + x2(7 + x))(2 + x) = 3640
((336 + 48x) + 14x * (7 + x) + x2(7 + x))(2 + x) = 3640
(336 + 48x + (7 * 14x + x * 14x) + x2(7 + x))(2 + x) = 3640
(336 + 48x + (98x + 14x2) + x2(7 + x))(2 + x) = 3640
(336 + 48x + 98x + 14x2 + (7 * x2 + x * x2))(2 + x) = 3640
(336 + 48x + 98x + 14x2 + (7x2 + x3))(2 + x) = 3640

Combine like terms: 48x + 98x = 146x
(336 + 146x + 14x2 + 7x2 + x3)(2 + x) = 3640

Combine like terms: 14x2 + 7x2 = 21x2
(336 + 146x + 21x2 + x3)(2 + x) = 3640

Multiply (336 + 146x + 21x2 + x3) * (2 + x)
(336(2 + x) + 146x * (2 + x) + 21x2 * (2 + x) + x3(2 + x)) = 3640
((2 * 336 + x * 336) + 146x * (2 + x) + 21x2 * (2 + x) + x3(2 + x)) = 3640
((672 + 336x) + 146x * (2 + x) + 21x2 * (2 + x) + x3(2 + x)) = 3640
(672 + 336x + (2 * 146x + x * 146x) + 21x2 * (2 + x) + x3(2 + x)) = 3640
(672 + 336x + (292x + 146x2) + 21x2 * (2 + x) + x3(2 + x)) = 3640
(672 + 336x + 292x + 146x2 + (2 * 21x2 + x * 21x2) + x3(2 + x)) = 3640
(672 + 336x + 292x + 146x2 + (42x2 + 21x3) + x3(2 + x)) = 3640
(672 + 336x + 292x + 146x2 + 42x2 + 21x3 + (2 * x3 + x * x3)) = 3640
(672 + 336x + 292x + 146x2 + 42x2 + 21x3 + (2x3 + x4)) = 3640

Combine like terms: 336x + 292x = 628x
(672 + 628x + 146x2 + 42x2 + 21x3 + 2x3 + x4) = 3640

Combine like terms: 146x2 + 42x2 = 188x2
(672 + 628x + 188x2 + 21x3 + 2x3 + x4) = 3640

Combine like terms: 21x3 + 2x3 = 23x3
(672 + 628x + 188x2 + 23x3 + x4) = 3640

Solving
672 + 628x + 188x2 + 23x3 + x4 = 3640

Solving for variable 'x'.

Reorder the terms:
672 + -3640 + 628x + 188x2 + 23x3 + x4 = 3640 + -3640

Combine like terms: 672 + -3640 = -2968
-2968 + 628x + 188x2 + 23x3 + x4 = 3640 + -3640

Combine like terms: 3640 + -3640 = 0
-2968 + 628x + 188x2 + 23x3 + x4 = 0

The solution to this equation could not be determined.

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