0=3x^3+12x^2-3x-12

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Solution for 0=3x^3+12x^2-3x-12 equation:


Simplifying
0 = 3x3 + 12x2 + -3x + -12

Reorder the terms:
0 = -12 + -3x + 12x2 + 3x3

Solving
0 = -12 + -3x + 12x2 + 3x3

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + 3x + -12x2 + -3x3 = -12 + -3x + 12x2 + 3x3 + 12 + 3x + -12x2 + -3x3

Reorder the terms:
12 + 3x + -12x2 + -3x3 = -12 + 12 + -3x + 3x + 12x2 + -12x2 + 3x3 + -3x3

Combine like terms: -12 + 12 = 0
12 + 3x + -12x2 + -3x3 = 0 + -3x + 3x + 12x2 + -12x2 + 3x3 + -3x3
12 + 3x + -12x2 + -3x3 = -3x + 3x + 12x2 + -12x2 + 3x3 + -3x3

Combine like terms: -3x + 3x = 0
12 + 3x + -12x2 + -3x3 = 0 + 12x2 + -12x2 + 3x3 + -3x3
12 + 3x + -12x2 + -3x3 = 12x2 + -12x2 + 3x3 + -3x3

Combine like terms: 12x2 + -12x2 = 0
12 + 3x + -12x2 + -3x3 = 0 + 3x3 + -3x3
12 + 3x + -12x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
12 + 3x + -12x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + x + -4x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(4 + x + -4x2 + -1x3)' equal to zero and attempt to solve: Simplifying 4 + x + -4x2 + -1x3 = 0 Solving 4 + x + -4x2 + -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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