6*x*(x+1)(x+2)(x+3)-x*(x+1)(x+2)=120

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Solution for 6*x*(x+1)(x+2)(x+3)-x*(x+1)(x+2)=120 equation: 


Simplifying
6x(x + 1)(x + 2)(x + 3) + -1x(x + 1)(x + 2) = 120

Reorder the terms:
6x(1 + x)(x + 2)(x + 3) + -1x(x + 1)(x + 2) = 120

Reorder the terms:
6x(1 + x)(2 + x)(x + 3) + -1x(x + 1)(x + 2) = 120

Reorder the terms:
6x(1 + x)(2 + x)(3 + x) + -1x(x + 1)(x + 2) = 120

Multiply (1 + x) * (2 + x)
6x(1(2 + x) + x(2 + x))(3 + x) + -1x(x + 1)(x + 2) = 120
6x((2 * 1 + x * 1) + x(2 + x))(3 + x) + -1x(x + 1)(x + 2) = 120
6x((2 + 1x) + x(2 + x))(3 + x) + -1x(x + 1)(x + 2) = 120
6x(2 + 1x + (2 * x + x * x))(3 + x) + -1x(x + 1)(x + 2) = 120
6x(2 + 1x + (2x + x2))(3 + x) + -1x(x + 1)(x + 2) = 120

Combine like terms: 1x + 2x = 3x
6x(2 + 3x + x2)(3 + x) + -1x(x + 1)(x + 2) = 120

Multiply (2 + 3x + x2) * (3 + x)
6x(2(3 + x) + 3x * (3 + x) + x2(3 + x)) + -1x(x + 1)(x + 2) = 120
6x((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x)) + -1x(x + 1)(x + 2) = 120
6x((6 + 2x) + 3x * (3 + x) + x2(3 + x)) + -1x(x + 1)(x + 2) = 120
6x(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x)) + -1x(x + 1)(x + 2) = 120
6x(6 + 2x + (9x + 3x2) + x2(3 + x)) + -1x(x + 1)(x + 2) = 120
6x(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2)) + -1x(x + 1)(x + 2) = 120
6x(6 + 2x + 9x + 3x2 + (3x2 + x3)) + -1x(x + 1)(x + 2) = 120

Combine like terms: 2x + 9x = 11x
6x(6 + 11x + 3x2 + 3x2 + x3) + -1x(x + 1)(x + 2) = 120

Combine like terms: 3x2 + 3x2 = 6x2
6x(6 + 11x + 6x2 + x3) + -1x(x + 1)(x + 2) = 120
(6 * 6x + 11x * 6x + 6x2 * 6x + x3 * 6x) + -1x(x + 1)(x + 2) = 120
(36x + 66x2 + 36x3 + 6x4) + -1x(x + 1)(x + 2) = 120

Reorder the terms:
36x + 66x2 + 36x3 + 6x4 + -1x(1 + x)(x + 2) = 120

Reorder the terms:
36x + 66x2 + 36x3 + 6x4 + -1x(1 + x)(2 + x) = 120

Multiply (1 + x) * (2 + x)
36x + 66x2 + 36x3 + 6x4 + -1x(1(2 + x) + x(2 + x)) = 120
36x + 66x2 + 36x3 + 6x4 + -1x((2 * 1 + x * 1) + x(2 + x)) = 120
36x + 66x2 + 36x3 + 6x4 + -1x((2 + 1x) + x(2 + x)) = 120
36x + 66x2 + 36x3 + 6x4 + -1x(2 + 1x + (2 * x + x * x)) = 120
36x + 66x2 + 36x3 + 6x4 + -1x(2 + 1x + (2x + x2)) = 120

Combine like terms: 1x + 2x = 3x
36x + 66x2 + 36x3 + 6x4 + -1x(2 + 3x + x2) = 120
36x + 66x2 + 36x3 + 6x4 + (2 * -1x + 3x * -1x + x2 * -1x) = 120
36x + 66x2 + 36x3 + 6x4 + (-2x + -3x2 + -1x3) = 120

Reorder the terms:
36x + -2x + 66x2 + -3x2 + 36x3 + -1x3 + 6x4 = 120

Combine like terms: 36x + -2x = 34x
34x + 66x2 + -3x2 + 36x3 + -1x3 + 6x4 = 120

Combine like terms: 66x2 + -3x2 = 63x2
34x + 63x2 + 36x3 + -1x3 + 6x4 = 120

Combine like terms: 36x3 + -1x3 = 35x3
34x + 63x2 + 35x3 + 6x4 = 120

Solving
34x + 63x2 + 35x3 + 6x4 = 120

Solving for variable 'x'.

Reorder the terms:
-120 + 34x + 63x2 + 35x3 + 6x4 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 34x + 63x2 + 35x3 + 6x4 = 0

The solution to this equation could not be determined.

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