(1+x)2(3x+2)(x+3)(x+5)=

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Solution for (1+x)2(3x+2)(x+3)(x+5)= equation: 


Simplifying
(1 + x) * 2(3x + 2)(x + 3)(x + 5) = 0

Reorder the terms:
(1 + x) * 2(2 + 3x)(x + 3)(x + 5) = 0

Reorder the terms:
(1 + x) * 2(2 + 3x)(3 + x)(x + 5) = 0

Reorder the terms:
(1 + x) * 2(2 + 3x)(3 + x)(5 + x) = 0

Reorder the terms for easier multiplication:
2(1 + x)(2 + 3x)(3 + x)(5 + x) = 0

Multiply (1 + x) * (2 + 3x)
2(1(2 + 3x) + x(2 + 3x))(3 + x)(5 + x) = 0
2((2 * 1 + 3x * 1) + x(2 + 3x))(3 + x)(5 + x) = 0
2((2 + 3x) + x(2 + 3x))(3 + x)(5 + x) = 0
2(2 + 3x + (2 * x + 3x * x))(3 + x)(5 + x) = 0
2(2 + 3x + (2x + 3x2))(3 + x)(5 + x) = 0

Combine like terms: 3x + 2x = 5x
2(2 + 5x + 3x2)(3 + x)(5 + x) = 0

Multiply (2 + 5x + 3x2) * (3 + x)
2(2(3 + x) + 5x * (3 + x) + 3x2 * (3 + x))(5 + x) = 0
2((3 * 2 + x * 2) + 5x * (3 + x) + 3x2 * (3 + x))(5 + x) = 0
2((6 + 2x) + 5x * (3 + x) + 3x2 * (3 + x))(5 + x) = 0
2(6 + 2x + (3 * 5x + x * 5x) + 3x2 * (3 + x))(5 + x) = 0
2(6 + 2x + (15x + 5x2) + 3x2 * (3 + x))(5 + x) = 0
2(6 + 2x + 15x + 5x2 + (3 * 3x2 + x * 3x2))(5 + x) = 0
2(6 + 2x + 15x + 5x2 + (9x2 + 3x3))(5 + x) = 0

Combine like terms: 2x + 15x = 17x
2(6 + 17x + 5x2 + 9x2 + 3x3)(5 + x) = 0

Combine like terms: 5x2 + 9x2 = 14x2
2(6 + 17x + 14x2 + 3x3)(5 + x) = 0

Multiply (6 + 17x + 14x2 + 3x3) * (5 + x)
2(6(5 + x) + 17x * (5 + x) + 14x2 * (5 + x) + 3x3 * (5 + x)) = 0
2((5 * 6 + x * 6) + 17x * (5 + x) + 14x2 * (5 + x) + 3x3 * (5 + x)) = 0
2((30 + 6x) + 17x * (5 + x) + 14x2 * (5 + x) + 3x3 * (5 + x)) = 0
2(30 + 6x + (5 * 17x + x * 17x) + 14x2 * (5 + x) + 3x3 * (5 + x)) = 0
2(30 + 6x + (85x + 17x2) + 14x2 * (5 + x) + 3x3 * (5 + x)) = 0
2(30 + 6x + 85x + 17x2 + (5 * 14x2 + x * 14x2) + 3x3 * (5 + x)) = 0
2(30 + 6x + 85x + 17x2 + (70x2 + 14x3) + 3x3 * (5 + x)) = 0
2(30 + 6x + 85x + 17x2 + 70x2 + 14x3 + (5 * 3x3 + x * 3x3)) = 0
2(30 + 6x + 85x + 17x2 + 70x2 + 14x3 + (15x3 + 3x4)) = 0

Combine like terms: 6x + 85x = 91x
2(30 + 91x + 17x2 + 70x2 + 14x3 + 15x3 + 3x4) = 0

Combine like terms: 17x2 + 70x2 = 87x2
2(30 + 91x + 87x2 + 14x3 + 15x3 + 3x4) = 0

Combine like terms: 14x3 + 15x3 = 29x3
2(30 + 91x + 87x2 + 29x3 + 3x4) = 0
(30 * 2 + 91x * 2 + 87x2 * 2 + 29x3 * 2 + 3x4 * 2) = 0
(60 + 182x + 174x2 + 58x3 + 6x4) = 0

Solving
60 + 182x + 174x2 + 58x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 91x + 87x2 + 29x3 + 3x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(30 + 91x + 87x2 + 29x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
30 + 91x + 87x2 + 29x3 + 3x4 = 0

Solving
30 + 91x + 87x2 + 29x3 + 3x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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