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

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


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

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

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

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

Multiply (2 + 2x) * (2 + 3x)
(2(2 + 3x) + 2x * (2 + 3x))(3 + x)(5 + x) = 0
((2 * 2 + 3x * 2) + 2x * (2 + 3x))(3 + x)(5 + x) = 0
((4 + 6x) + 2x * (2 + 3x))(3 + x)(5 + x) = 0
(4 + 6x + (2 * 2x + 3x * 2x))(3 + x)(5 + x) = 0
(4 + 6x + (4x + 6x2))(3 + x)(5 + x) = 0

Combine like terms: 6x + 4x = 10x
(4 + 10x + 6x2)(3 + x)(5 + x) = 0

Multiply (4 + 10x + 6x2) * (3 + x)
(4(3 + x) + 10x * (3 + x) + 6x2 * (3 + x))(5 + x) = 0
((3 * 4 + x * 4) + 10x * (3 + x) + 6x2 * (3 + x))(5 + x) = 0
((12 + 4x) + 10x * (3 + x) + 6x2 * (3 + x))(5 + x) = 0
(12 + 4x + (3 * 10x + x * 10x) + 6x2 * (3 + x))(5 + x) = 0
(12 + 4x + (30x + 10x2) + 6x2 * (3 + x))(5 + x) = 0
(12 + 4x + 30x + 10x2 + (3 * 6x2 + x * 6x2))(5 + x) = 0
(12 + 4x + 30x + 10x2 + (18x2 + 6x3))(5 + x) = 0

Combine like terms: 4x + 30x = 34x
(12 + 34x + 10x2 + 18x2 + 6x3)(5 + x) = 0

Combine like terms: 10x2 + 18x2 = 28x2
(12 + 34x + 28x2 + 6x3)(5 + x) = 0

Multiply (12 + 34x + 28x2 + 6x3) * (5 + x)
(12(5 + x) + 34x * (5 + x) + 28x2 * (5 + x) + 6x3 * (5 + x)) = 0
((5 * 12 + x * 12) + 34x * (5 + x) + 28x2 * (5 + x) + 6x3 * (5 + x)) = 0
((60 + 12x) + 34x * (5 + x) + 28x2 * (5 + x) + 6x3 * (5 + x)) = 0
(60 + 12x + (5 * 34x + x * 34x) + 28x2 * (5 + x) + 6x3 * (5 + x)) = 0
(60 + 12x + (170x + 34x2) + 28x2 * (5 + x) + 6x3 * (5 + x)) = 0
(60 + 12x + 170x + 34x2 + (5 * 28x2 + x * 28x2) + 6x3 * (5 + x)) = 0
(60 + 12x + 170x + 34x2 + (140x2 + 28x3) + 6x3 * (5 + x)) = 0
(60 + 12x + 170x + 34x2 + 140x2 + 28x3 + (5 * 6x3 + x * 6x3)) = 0
(60 + 12x + 170x + 34x2 + 140x2 + 28x3 + (30x3 + 6x4)) = 0

Combine like terms: 12x + 170x = 182x
(60 + 182x + 34x2 + 140x2 + 28x3 + 30x3 + 6x4) = 0

Combine like terms: 34x2 + 140x2 = 174x2
(60 + 182x + 174x2 + 28x3 + 30x3 + 6x4) = 0

Combine like terms: 28x3 + 30x3 = 58x3
(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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