0=x^3+6x^2+12x+8

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Solution for 0=x^3+6x^2+12x+8 equation:


Simplifying
0 = x3 + 6x2 + 12x + 8

Reorder the terms:
0 = 8 + 12x + 6x2 + x3

Solving
0 = 8 + 12x + 6x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + -12x + -6x2 + -1x3 = 8 + 12x + 6x2 + x3 + -8 + -12x + -6x2 + -1x3

Reorder the terms:
-8 + -12x + -6x2 + -1x3 = 8 + -8 + 12x + -12x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: 8 + -8 = 0
-8 + -12x + -6x2 + -1x3 = 0 + 12x + -12x + 6x2 + -6x2 + x3 + -1x3
-8 + -12x + -6x2 + -1x3 = 12x + -12x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: 12x + -12x = 0
-8 + -12x + -6x2 + -1x3 = 0 + 6x2 + -6x2 + x3 + -1x3
-8 + -12x + -6x2 + -1x3 = 6x2 + -6x2 + x3 + -1x3

Combine like terms: 6x2 + -6x2 = 0
-8 + -12x + -6x2 + -1x3 = 0 + x3 + -1x3
-8 + -12x + -6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-8 + -12x + -6x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 12x + 6x2 + x3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(8 + 12x + 6x2 + x3)' equal to zero and attempt to solve: Simplifying 8 + 12x + 6x2 + x3 = 0 Solving 8 + 12x + 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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