(1+3*x)*(1+3*x)*(1+3*x)+(1+3*x)*12=0

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Solution for (1+3*x)*(1+3*x)*(1+3*x)+(1+3*x)*12=0 equation:


Simplifying
(1 + 3x)(1 + 3x)(1 + 3x) + (1 + 3x) * 12 = 0

Multiply (1 + 3x) * (1 + 3x)
(1(1 + 3x) + 3x * (1 + 3x))(1 + 3x) + (1 + 3x) * 12 = 0
((1 * 1 + 3x * 1) + 3x * (1 + 3x))(1 + 3x) + (1 + 3x) * 12 = 0
((1 + 3x) + 3x * (1 + 3x))(1 + 3x) + (1 + 3x) * 12 = 0
(1 + 3x + (1 * 3x + 3x * 3x))(1 + 3x) + (1 + 3x) * 12 = 0
(1 + 3x + (3x + 9x2))(1 + 3x) + (1 + 3x) * 12 = 0

Combine like terms: 3x + 3x = 6x
(1 + 6x + 9x2)(1 + 3x) + (1 + 3x) * 12 = 0

Multiply (1 + 6x + 9x2) * (1 + 3x)
(1(1 + 3x) + 6x * (1 + 3x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 = 0
((1 * 1 + 3x * 1) + 6x * (1 + 3x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 = 0
((1 + 3x) + 6x * (1 + 3x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 = 0
(1 + 3x + (1 * 6x + 3x * 6x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 = 0
(1 + 3x + (6x + 18x2) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 = 0
(1 + 3x + 6x + 18x2 + (1 * 9x2 + 3x * 9x2)) + (1 + 3x) * 12 = 0
(1 + 3x + 6x + 18x2 + (9x2 + 27x3)) + (1 + 3x) * 12 = 0

Combine like terms: 3x + 6x = 9x
(1 + 9x + 18x2 + 9x2 + 27x3) + (1 + 3x) * 12 = 0

Combine like terms: 18x2 + 9x2 = 27x2
(1 + 9x + 27x2 + 27x3) + (1 + 3x) * 12 = 0

Reorder the terms for easier multiplication:
1 + 9x + 27x2 + 27x3 + 12(1 + 3x) = 0
1 + 9x + 27x2 + 27x3 + (1 * 12 + 3x * 12) = 0
1 + 9x + 27x2 + 27x3 + (12 + 36x) = 0

Reorder the terms:
1 + 12 + 9x + 36x + 27x2 + 27x3 = 0

Combine like terms: 1 + 12 = 13
13 + 9x + 36x + 27x2 + 27x3 = 0

Combine like terms: 9x + 36x = 45x
13 + 45x + 27x2 + 27x3 = 0

Solving
13 + 45x + 27x2 + 27x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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