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

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


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

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

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

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

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

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

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

Multiply (3 + 5x + 2x2) * (3 + 2x)
(3(3 + 2x) + 5x * (3 + 2x) + 2x2 * (3 + 2x))(3 + x) = 945
((3 * 3 + 2x * 3) + 5x * (3 + 2x) + 2x2 * (3 + 2x))(3 + x) = 945
((9 + 6x) + 5x * (3 + 2x) + 2x2 * (3 + 2x))(3 + x) = 945
(9 + 6x + (3 * 5x + 2x * 5x) + 2x2 * (3 + 2x))(3 + x) = 945
(9 + 6x + (15x + 10x2) + 2x2 * (3 + 2x))(3 + x) = 945
(9 + 6x + 15x + 10x2 + (3 * 2x2 + 2x * 2x2))(3 + x) = 945
(9 + 6x + 15x + 10x2 + (6x2 + 4x3))(3 + x) = 945

Combine like terms: 6x + 15x = 21x
(9 + 21x + 10x2 + 6x2 + 4x3)(3 + x) = 945

Combine like terms: 10x2 + 6x2 = 16x2
(9 + 21x + 16x2 + 4x3)(3 + x) = 945

Multiply (9 + 21x + 16x2 + 4x3) * (3 + x)
(9(3 + x) + 21x * (3 + x) + 16x2 * (3 + x) + 4x3 * (3 + x)) = 945
((3 * 9 + x * 9) + 21x * (3 + x) + 16x2 * (3 + x) + 4x3 * (3 + x)) = 945
((27 + 9x) + 21x * (3 + x) + 16x2 * (3 + x) + 4x3 * (3 + x)) = 945
(27 + 9x + (3 * 21x + x * 21x) + 16x2 * (3 + x) + 4x3 * (3 + x)) = 945
(27 + 9x + (63x + 21x2) + 16x2 * (3 + x) + 4x3 * (3 + x)) = 945
(27 + 9x + 63x + 21x2 + (3 * 16x2 + x * 16x2) + 4x3 * (3 + x)) = 945
(27 + 9x + 63x + 21x2 + (48x2 + 16x3) + 4x3 * (3 + x)) = 945
(27 + 9x + 63x + 21x2 + 48x2 + 16x3 + (3 * 4x3 + x * 4x3)) = 945
(27 + 9x + 63x + 21x2 + 48x2 + 16x3 + (12x3 + 4x4)) = 945

Combine like terms: 9x + 63x = 72x
(27 + 72x + 21x2 + 48x2 + 16x3 + 12x3 + 4x4) = 945

Combine like terms: 21x2 + 48x2 = 69x2
(27 + 72x + 69x2 + 16x3 + 12x3 + 4x4) = 945

Combine like terms: 16x3 + 12x3 = 28x3
(27 + 72x + 69x2 + 28x3 + 4x4) = 945

Solving
27 + 72x + 69x2 + 28x3 + 4x4 = 945

Solving for variable 'x'.

Reorder the terms:
27 + -945 + 72x + 69x2 + 28x3 + 4x4 = 945 + -945

Combine like terms: 27 + -945 = -918
-918 + 72x + 69x2 + 28x3 + 4x4 = 945 + -945

Combine like terms: 945 + -945 = 0
-918 + 72x + 69x2 + 28x3 + 4x4 = 0

The solution to this equation could not be determined.

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