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

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


Simplifying
0 = 4x3 + -12x2 + 2

Reorder the terms:
0 = 2 + -12x2 + 4x3

Solving
0 = 2 + -12x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + -2 = -2
-2 + 12x2 + -4x3 = 2 + -12x2 + 4x3 + -2 + 12x2 + -4x3

Reorder the terms:
-2 + 12x2 + -4x3 = 2 + -2 + -12x2 + 12x2 + 4x3 + -4x3

Combine like terms: 2 + -2 = 0
-2 + 12x2 + -4x3 = 0 + -12x2 + 12x2 + 4x3 + -4x3
-2 + 12x2 + -4x3 = -12x2 + 12x2 + 4x3 + -4x3

Combine like terms: -12x2 + 12x2 = 0
-2 + 12x2 + -4x3 = 0 + 4x3 + -4x3
-2 + 12x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-2 + 12x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 6x2 + -2x3)' equal to zero and attempt to solve: Simplifying -1 + 6x2 + -2x3 = 0 Solving -1 + 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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