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

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


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

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

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

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

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

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

Combine like terms: 2x + 5x = 7x
(5 + 7x + 2x2)(3 + 2x)(1 + x) = 945

Multiply (5 + 7x + 2x2) * (3 + 2x)
(5(3 + 2x) + 7x * (3 + 2x) + 2x2 * (3 + 2x))(1 + x) = 945
((3 * 5 + 2x * 5) + 7x * (3 + 2x) + 2x2 * (3 + 2x))(1 + x) = 945
((15 + 10x) + 7x * (3 + 2x) + 2x2 * (3 + 2x))(1 + x) = 945
(15 + 10x + (3 * 7x + 2x * 7x) + 2x2 * (3 + 2x))(1 + x) = 945
(15 + 10x + (21x + 14x2) + 2x2 * (3 + 2x))(1 + x) = 945
(15 + 10x + 21x + 14x2 + (3 * 2x2 + 2x * 2x2))(1 + x) = 945
(15 + 10x + 21x + 14x2 + (6x2 + 4x3))(1 + x) = 945

Combine like terms: 10x + 21x = 31x
(15 + 31x + 14x2 + 6x2 + 4x3)(1 + x) = 945

Combine like terms: 14x2 + 6x2 = 20x2
(15 + 31x + 20x2 + 4x3)(1 + x) = 945

Multiply (15 + 31x + 20x2 + 4x3) * (1 + x)
(15(1 + x) + 31x * (1 + x) + 20x2 * (1 + x) + 4x3 * (1 + x)) = 945
((1 * 15 + x * 15) + 31x * (1 + x) + 20x2 * (1 + x) + 4x3 * (1 + x)) = 945
((15 + 15x) + 31x * (1 + x) + 20x2 * (1 + x) + 4x3 * (1 + x)) = 945
(15 + 15x + (1 * 31x + x * 31x) + 20x2 * (1 + x) + 4x3 * (1 + x)) = 945
(15 + 15x + (31x + 31x2) + 20x2 * (1 + x) + 4x3 * (1 + x)) = 945
(15 + 15x + 31x + 31x2 + (1 * 20x2 + x * 20x2) + 4x3 * (1 + x)) = 945
(15 + 15x + 31x + 31x2 + (20x2 + 20x3) + 4x3 * (1 + x)) = 945
(15 + 15x + 31x + 31x2 + 20x2 + 20x3 + (1 * 4x3 + x * 4x3)) = 945
(15 + 15x + 31x + 31x2 + 20x2 + 20x3 + (4x3 + 4x4)) = 945

Combine like terms: 15x + 31x = 46x
(15 + 46x + 31x2 + 20x2 + 20x3 + 4x3 + 4x4) = 945

Combine like terms: 31x2 + 20x2 = 51x2
(15 + 46x + 51x2 + 20x3 + 4x3 + 4x4) = 945

Combine like terms: 20x3 + 4x3 = 24x3
(15 + 46x + 51x2 + 24x3 + 4x4) = 945

Solving
15 + 46x + 51x2 + 24x3 + 4x4 = 945

Solving for variable 'x'.

Reorder the terms:
15 + -945 + 46x + 51x2 + 24x3 + 4x4 = 945 + -945

Combine like terms: 15 + -945 = -930
-930 + 46x + 51x2 + 24x3 + 4x4 = 945 + -945

Combine like terms: 945 + -945 = 0
-930 + 46x + 51x2 + 24x3 + 4x4 = 0

The solution to this equation could not be determined.

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