0=4x^3+12x^2+4x-6

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Solution for 0=4x^3+12x^2+4x-6 equation:


Simplifying
0 = 4x3 + 12x2 + 4x + -6

Reorder the terms:
0 = -6 + 4x + 12x2 + 4x3

Solving
0 = -6 + 4x + 12x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -4x + -12x2 + -4x3 = -6 + 4x + 12x2 + 4x3 + 6 + -4x + -12x2 + -4x3

Reorder the terms:
6 + -4x + -12x2 + -4x3 = -6 + 6 + 4x + -4x + 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: -6 + 6 = 0
6 + -4x + -12x2 + -4x3 = 0 + 4x + -4x + 12x2 + -12x2 + 4x3 + -4x3
6 + -4x + -12x2 + -4x3 = 4x + -4x + 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: 4x + -4x = 0
6 + -4x + -12x2 + -4x3 = 0 + 12x2 + -12x2 + 4x3 + -4x3
6 + -4x + -12x2 + -4x3 = 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: 12x2 + -12x2 = 0
6 + -4x + -12x2 + -4x3 = 0 + 4x3 + -4x3
6 + -4x + -12x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
6 + -4x + -12x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -2x + -6x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -2x + -6x2 + -2x3)' equal to zero and attempt to solve: Simplifying 3 + -2x + -6x2 + -2x3 = 0 Solving 3 + -2x + -6x2 + -2x3 = 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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