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

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


Simplifying
0 = 2x3 + 12x2 + 16

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

Solving
0 = 16 + 12x2 + 2x3

Solving for variable 'x'.

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

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

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

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

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

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

Ignore the factor -2.

Subproblem 1
Set the factor '(8 + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
8 + 6x2 + x3 = 0

Solving
8 + 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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