2x^3=12x^2-4x-24

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Solution for 2x^3=12x^2-4x-24 equation:


Simplifying
2x3 = 12x2 + -4x + -24

Reorder the terms:
2x3 = -24 + -4x + 12x2

Solving
2x3 = -24 + -4x + 12x2

Solving for variable 'x'.

Reorder the terms:
24 + 4x + -12x2 + 2x3 = -24 + -4x + 12x2 + 24 + 4x + -12x2

Reorder the terms:
24 + 4x + -12x2 + 2x3 = -24 + 24 + -4x + 4x + 12x2 + -12x2

Combine like terms: -24 + 24 = 0
24 + 4x + -12x2 + 2x3 = 0 + -4x + 4x + 12x2 + -12x2
24 + 4x + -12x2 + 2x3 = -4x + 4x + 12x2 + -12x2

Combine like terms: -4x + 4x = 0
24 + 4x + -12x2 + 2x3 = 0 + 12x2 + -12x2
24 + 4x + -12x2 + 2x3 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
24 + 4x + -12x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 2x + -6x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(12 + 2x + -6x2 + x3)' equal to zero and attempt to solve: Simplifying 12 + 2x + -6x2 + x3 = 0 Solving 12 + 2x + -6x2 + x3 = 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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