-(1+3*x)*(1+3*x)*(1+3*x)+(1+3*x)*12+16=0

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Solution for -(1+3*x)*(1+3*x)*(1+3*x)+(1+3*x)*12+16=0 equation: 


Simplifying
-1(1 + 3x)(1 + 3x)(1 + 3x) + (1 + 3x) * 12 + 16 = 0

Multiply (1 + 3x) * (1 + 3x)
-1(1(1 + 3x) + 3x * (1 + 3x))(1 + 3x) + (1 + 3x) * 12 + 16 = 0
-1((1 * 1 + 3x * 1) + 3x * (1 + 3x))(1 + 3x) + (1 + 3x) * 12 + 16 = 0
-1((1 + 3x) + 3x * (1 + 3x))(1 + 3x) + (1 + 3x) * 12 + 16 = 0
-1(1 + 3x + (1 * 3x + 3x * 3x))(1 + 3x) + (1 + 3x) * 12 + 16 = 0
-1(1 + 3x + (3x + 9x2))(1 + 3x) + (1 + 3x) * 12 + 16 = 0

Combine like terms: 3x + 3x = 6x
-1(1 + 6x + 9x2)(1 + 3x) + (1 + 3x) * 12 + 16 = 0

Multiply (1 + 6x + 9x2) * (1 + 3x)
-1(1(1 + 3x) + 6x * (1 + 3x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 + 16 = 0
-1((1 * 1 + 3x * 1) + 6x * (1 + 3x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 + 16 = 0
-1((1 + 3x) + 6x * (1 + 3x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 + 16 = 0
-1(1 + 3x + (1 * 6x + 3x * 6x) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 + 16 = 0
-1(1 + 3x + (6x + 18x2) + 9x2 * (1 + 3x)) + (1 + 3x) * 12 + 16 = 0
-1(1 + 3x + 6x + 18x2 + (1 * 9x2 + 3x * 9x2)) + (1 + 3x) * 12 + 16 = 0
-1(1 + 3x + 6x + 18x2 + (9x2 + 27x3)) + (1 + 3x) * 12 + 16 = 0

Combine like terms: 3x + 6x = 9x
-1(1 + 9x + 18x2 + 9x2 + 27x3) + (1 + 3x) * 12 + 16 = 0

Combine like terms: 18x2 + 9x2 = 27x2
-1(1 + 9x + 27x2 + 27x3) + (1 + 3x) * 12 + 16 = 0
(1 * -1 + 9x * -1 + 27x2 * -1 + 27x3 * -1) + (1 + 3x) * 12 + 16 = 0
(-1 + -9x + -27x2 + -27x3) + (1 + 3x) * 12 + 16 = 0

Reorder the terms for easier multiplication:
-1 + -9x + -27x2 + -27x3 + 12(1 + 3x) + 16 = 0
-1 + -9x + -27x2 + -27x3 + (1 * 12 + 3x * 12) + 16 = 0
-1 + -9x + -27x2 + -27x3 + (12 + 36x) + 16 = 0

Reorder the terms:
-1 + 12 + 16 + -9x + 36x + -27x2 + -27x3 = 0

Combine like terms: -1 + 12 = 11
11 + 16 + -9x + 36x + -27x2 + -27x3 = 0

Combine like terms: 11 + 16 = 27
27 + -9x + 36x + -27x2 + -27x3 = 0

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

Solving
27 + 27x + -27x2 + -27x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27'.
27(1 + x + -1x2 + -1x3) = 0

Ignore the factor 27.

Subproblem 1
Set the factor '(1 + x + -1x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
1 + x + -1x2 + -1x3 = 0

Solving
1 + x + -1x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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