0=2x^3+6x^2-12x-16

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Solution for 0=2x^3+6x^2-12x-16 equation:


Simplifying
0 = 2x3 + 6x2 + -12x + -16

Reorder the terms:
0 = -16 + -12x + 6x2 + 2x3

Solving
0 = -16 + -12x + 6x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 12x + -6x2 + -2x3 = -16 + -12x + 6x2 + 2x3 + 16 + 12x + -6x2 + -2x3

Reorder the terms:
16 + 12x + -6x2 + -2x3 = -16 + 16 + -12x + 12x + 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: -16 + 16 = 0
16 + 12x + -6x2 + -2x3 = 0 + -12x + 12x + 6x2 + -6x2 + 2x3 + -2x3
16 + 12x + -6x2 + -2x3 = -12x + 12x + 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: -12x + 12x = 0
16 + 12x + -6x2 + -2x3 = 0 + 6x2 + -6x2 + 2x3 + -2x3
16 + 12x + -6x2 + -2x3 = 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: 6x2 + -6x2 = 0
16 + 12x + -6x2 + -2x3 = 0 + 2x3 + -2x3
16 + 12x + -6x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
16 + 12x + -6x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 6x + -3x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(8 + 6x + -3x2 + -1x3)' equal to zero and attempt to solve: Simplifying 8 + 6x + -3x2 + -1x3 = 0 Solving 8 + 6x + -3x2 + -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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