(x+5)3-1=x(x+3)(x+12)-8

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Solution for (x+5)3-1=x(x+3)(x+12)-8 equation: 


Simplifying
(x + 5) * 3 + -1 = x(x + 3)(x + 12) + -8

Reorder the terms:
(5 + x) * 3 + -1 = x(x + 3)(x + 12) + -8

Reorder the terms for easier multiplication:
3(5 + x) + -1 = x(x + 3)(x + 12) + -8
(5 * 3 + x * 3) + -1 = x(x + 3)(x + 12) + -8
(15 + 3x) + -1 = x(x + 3)(x + 12) + -8

Reorder the terms:
15 + -1 + 3x = x(x + 3)(x + 12) + -8

Combine like terms: 15 + -1 = 14
14 + 3x = x(x + 3)(x + 12) + -8

Reorder the terms:
14 + 3x = x(3 + x)(x + 12) + -8

Reorder the terms:
14 + 3x = x(3 + x)(12 + x) + -8

Multiply (3 + x) * (12 + x)
14 + 3x = x(3(12 + x) + x(12 + x)) + -8
14 + 3x = x((12 * 3 + x * 3) + x(12 + x)) + -8
14 + 3x = x((36 + 3x) + x(12 + x)) + -8
14 + 3x = x(36 + 3x + (12 * x + x * x)) + -8
14 + 3x = x(36 + 3x + (12x + x2)) + -8

Combine like terms: 3x + 12x = 15x
14 + 3x = x(36 + 15x + x2) + -8
14 + 3x = (36 * x + 15x * x + x2 * x) + -8
14 + 3x = (36x + 15x2 + x3) + -8

Reorder the terms:
14 + 3x = -8 + 36x + 15x2 + x3

Solving
14 + 3x = -8 + 36x + 15x2 + x3

Solving for variable 'x'.

Reorder the terms:
14 + 8 + 3x + -36x + -15x2 + -1x3 = -8 + 36x + 15x2 + x3 + 8 + -36x + -15x2 + -1x3

Combine like terms: 14 + 8 = 22
22 + 3x + -36x + -15x2 + -1x3 = -8 + 36x + 15x2 + x3 + 8 + -36x + -15x2 + -1x3

Combine like terms: 3x + -36x = -33x
22 + -33x + -15x2 + -1x3 = -8 + 36x + 15x2 + x3 + 8 + -36x + -15x2 + -1x3

Reorder the terms:
22 + -33x + -15x2 + -1x3 = -8 + 8 + 36x + -36x + 15x2 + -15x2 + x3 + -1x3

Combine like terms: -8 + 8 = 0
22 + -33x + -15x2 + -1x3 = 0 + 36x + -36x + 15x2 + -15x2 + x3 + -1x3
22 + -33x + -15x2 + -1x3 = 36x + -36x + 15x2 + -15x2 + x3 + -1x3

Combine like terms: 36x + -36x = 0
22 + -33x + -15x2 + -1x3 = 0 + 15x2 + -15x2 + x3 + -1x3
22 + -33x + -15x2 + -1x3 = 15x2 + -15x2 + x3 + -1x3

Combine like terms: 15x2 + -15x2 = 0
22 + -33x + -15x2 + -1x3 = 0 + x3 + -1x3
22 + -33x + -15x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
22 + -33x + -15x2 + -1x3 = 0

The solution to this equation could not be determined.

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