(x+1)(2x+3)(2x+5)(x+3)=945

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Solution for (x+1)(2x+3)(2x+5)(x+3)=945 equation: 


Simplifying
(x + 1)(2x + 3)(2x + 5)(x + 3) = 945

Reorder the terms:
(1 + x)(2x + 3)(2x + 5)(x + 3) = 945

Reorder the terms:
(1 + x)(3 + 2x)(2x + 5)(x + 3) = 945

Reorder the terms:
(1 + x)(3 + 2x)(5 + 2x)(x + 3) = 945

Reorder the terms:
(1 + x)(3 + 2x)(5 + 2x)(3 + x) = 945

Multiply (1 + x) * (3 + 2x)
(1(3 + 2x) + x(3 + 2x))(5 + 2x)(3 + x) = 945
((3 * 1 + 2x * 1) + x(3 + 2x))(5 + 2x)(3 + x) = 945
((3 + 2x) + x(3 + 2x))(5 + 2x)(3 + x) = 945
(3 + 2x + (3 * x + 2x * x))(5 + 2x)(3 + x) = 945
(3 + 2x + (3x + 2x2))(5 + 2x)(3 + x) = 945

Combine like terms: 2x + 3x = 5x
(3 + 5x + 2x2)(5 + 2x)(3 + x) = 945

Multiply (3 + 5x + 2x2) * (5 + 2x)
(3(5 + 2x) + 5x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945
((5 * 3 + 2x * 3) + 5x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945
((15 + 6x) + 5x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945
(15 + 6x + (5 * 5x + 2x * 5x) + 2x2 * (5 + 2x))(3 + x) = 945
(15 + 6x + (25x + 10x2) + 2x2 * (5 + 2x))(3 + x) = 945
(15 + 6x + 25x + 10x2 + (5 * 2x2 + 2x * 2x2))(3 + x) = 945
(15 + 6x + 25x + 10x2 + (10x2 + 4x3))(3 + x) = 945

Combine like terms: 6x + 25x = 31x
(15 + 31x + 10x2 + 10x2 + 4x3)(3 + x) = 945

Combine like terms: 10x2 + 10x2 = 20x2
(15 + 31x + 20x2 + 4x3)(3 + x) = 945

Multiply (15 + 31x + 20x2 + 4x3) * (3 + x)
(15(3 + x) + 31x * (3 + x) + 20x2 * (3 + x) + 4x3 * (3 + x)) = 945
((3 * 15 + x * 15) + 31x * (3 + x) + 20x2 * (3 + x) + 4x3 * (3 + x)) = 945
((45 + 15x) + 31x * (3 + x) + 20x2 * (3 + x) + 4x3 * (3 + x)) = 945
(45 + 15x + (3 * 31x + x * 31x) + 20x2 * (3 + x) + 4x3 * (3 + x)) = 945
(45 + 15x + (93x + 31x2) + 20x2 * (3 + x) + 4x3 * (3 + x)) = 945
(45 + 15x + 93x + 31x2 + (3 * 20x2 + x * 20x2) + 4x3 * (3 + x)) = 945
(45 + 15x + 93x + 31x2 + (60x2 + 20x3) + 4x3 * (3 + x)) = 945
(45 + 15x + 93x + 31x2 + 60x2 + 20x3 + (3 * 4x3 + x * 4x3)) = 945
(45 + 15x + 93x + 31x2 + 60x2 + 20x3 + (12x3 + 4x4)) = 945

Combine like terms: 15x + 93x = 108x
(45 + 108x + 31x2 + 60x2 + 20x3 + 12x3 + 4x4) = 945

Combine like terms: 31x2 + 60x2 = 91x2
(45 + 108x + 91x2 + 20x3 + 12x3 + 4x4) = 945

Combine like terms: 20x3 + 12x3 = 32x3
(45 + 108x + 91x2 + 32x3 + 4x4) = 945

Solving
45 + 108x + 91x2 + 32x3 + 4x4 = 945

Solving for variable 'x'.

Reorder the terms:
45 + -945 + 108x + 91x2 + 32x3 + 4x4 = 945 + -945

Combine like terms: 45 + -945 = -900
-900 + 108x + 91x2 + 32x3 + 4x4 = 945 + -945

Combine like terms: 945 + -945 = 0
-900 + 108x + 91x2 + 32x3 + 4x4 = 0

The solution to this equation could not be determined.

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