2x-5=x^3+6x^2+12x+8

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Solution for 2x-5=x^3+6x^2+12x+8 equation: 


Simplifying
2x + -5 = x3 + 6x2 + 12x + 8

Reorder the terms:
-5 + 2x = x3 + 6x2 + 12x + 8

Reorder the terms:
-5 + 2x = 8 + 12x + 6x2 + x3

Solving
-5 + 2x = 8 + 12x + 6x2 + x3

Solving for variable 'x'.

Reorder the terms:
-5 + -8 + 2x + -12x + -6x2 + -1x3 = 8 + 12x + 6x2 + x3 + -8 + -12x + -6x2 + -1x3

Combine like terms: -5 + -8 = -13
-13 + 2x + -12x + -6x2 + -1x3 = 8 + 12x + 6x2 + x3 + -8 + -12x + -6x2 + -1x3

Combine like terms: 2x + -12x = -10x
-13 + -10x + -6x2 + -1x3 = 8 + 12x + 6x2 + x3 + -8 + -12x + -6x2 + -1x3

Reorder the terms:
-13 + -10x + -6x2 + -1x3 = 8 + -8 + 12x + -12x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: 8 + -8 = 0
-13 + -10x + -6x2 + -1x3 = 0 + 12x + -12x + 6x2 + -6x2 + x3 + -1x3
-13 + -10x + -6x2 + -1x3 = 12x + -12x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: 12x + -12x = 0
-13 + -10x + -6x2 + -1x3 = 0 + 6x2 + -6x2 + x3 + -1x3
-13 + -10x + -6x2 + -1x3 = 6x2 + -6x2 + x3 + -1x3

Combine like terms: 6x2 + -6x2 = 0
-13 + -10x + -6x2 + -1x3 = 0 + x3 + -1x3
-13 + -10x + -6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-13 + -10x + -6x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 10x + 6x2 + x3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 10x + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
13 + 10x + 6x2 + x3 = 0

Solving
13 + 10x + 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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