(x+2)(x+5)(x+8)(x+11)=280

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Solution for (x+2)(x+5)(x+8)(x+11)=280 equation: 


Simplifying
(x + 2)(x + 5)(x + 8)(x + 11) = 280

Reorder the terms:
(2 + x)(x + 5)(x + 8)(x + 11) = 280

Reorder the terms:
(2 + x)(5 + x)(x + 8)(x + 11) = 280

Reorder the terms:
(2 + x)(5 + x)(8 + x)(x + 11) = 280

Reorder the terms:
(2 + x)(5 + x)(8 + x)(11 + x) = 280

Multiply (2 + x) * (5 + x)
(2(5 + x) + x(5 + x))(8 + x)(11 + x) = 280
((5 * 2 + x * 2) + x(5 + x))(8 + x)(11 + x) = 280
((10 + 2x) + x(5 + x))(8 + x)(11 + x) = 280
(10 + 2x + (5 * x + x * x))(8 + x)(11 + x) = 280
(10 + 2x + (5x + x2))(8 + x)(11 + x) = 280

Combine like terms: 2x + 5x = 7x
(10 + 7x + x2)(8 + x)(11 + x) = 280

Multiply (10 + 7x + x2) * (8 + x)
(10(8 + x) + 7x * (8 + x) + x2(8 + x))(11 + x) = 280
((8 * 10 + x * 10) + 7x * (8 + x) + x2(8 + x))(11 + x) = 280
((80 + 10x) + 7x * (8 + x) + x2(8 + x))(11 + x) = 280
(80 + 10x + (8 * 7x + x * 7x) + x2(8 + x))(11 + x) = 280
(80 + 10x + (56x + 7x2) + x2(8 + x))(11 + x) = 280
(80 + 10x + 56x + 7x2 + (8 * x2 + x * x2))(11 + x) = 280
(80 + 10x + 56x + 7x2 + (8x2 + x3))(11 + x) = 280

Combine like terms: 10x + 56x = 66x
(80 + 66x + 7x2 + 8x2 + x3)(11 + x) = 280

Combine like terms: 7x2 + 8x2 = 15x2
(80 + 66x + 15x2 + x3)(11 + x) = 280

Multiply (80 + 66x + 15x2 + x3) * (11 + x)
(80(11 + x) + 66x * (11 + x) + 15x2 * (11 + x) + x3(11 + x)) = 280
((11 * 80 + x * 80) + 66x * (11 + x) + 15x2 * (11 + x) + x3(11 + x)) = 280
((880 + 80x) + 66x * (11 + x) + 15x2 * (11 + x) + x3(11 + x)) = 280
(880 + 80x + (11 * 66x + x * 66x) + 15x2 * (11 + x) + x3(11 + x)) = 280
(880 + 80x + (726x + 66x2) + 15x2 * (11 + x) + x3(11 + x)) = 280
(880 + 80x + 726x + 66x2 + (11 * 15x2 + x * 15x2) + x3(11 + x)) = 280
(880 + 80x + 726x + 66x2 + (165x2 + 15x3) + x3(11 + x)) = 280
(880 + 80x + 726x + 66x2 + 165x2 + 15x3 + (11 * x3 + x * x3)) = 280
(880 + 80x + 726x + 66x2 + 165x2 + 15x3 + (11x3 + x4)) = 280

Combine like terms: 80x + 726x = 806x
(880 + 806x + 66x2 + 165x2 + 15x3 + 11x3 + x4) = 280

Combine like terms: 66x2 + 165x2 = 231x2
(880 + 806x + 231x2 + 15x3 + 11x3 + x4) = 280

Combine like terms: 15x3 + 11x3 = 26x3
(880 + 806x + 231x2 + 26x3 + x4) = 280

Solving
880 + 806x + 231x2 + 26x3 + x4 = 280

Solving for variable 'x'.

Reorder the terms:
880 + -280 + 806x + 231x2 + 26x3 + x4 = 280 + -280

Combine like terms: 880 + -280 = 600
600 + 806x + 231x2 + 26x3 + x4 = 280 + -280

Combine like terms: 280 + -280 = 0
600 + 806x + 231x2 + 26x3 + x4 = 0

The solution to this equation could not be determined.

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