-6x-2=(3x+1)x^2

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Solution for -6x-2=(3x+1)x^2 equation: 


Simplifying
-6x + -2 = (3x + 1) * x2

Reorder the terms:
-2 + -6x = (3x + 1) * x2

Reorder the terms:
-2 + -6x = (1 + 3x) * x2

Reorder the terms for easier multiplication:
-2 + -6x = x2(1 + 3x)
-2 + -6x = (1 * x2 + 3x * x2)
-2 + -6x = (1x2 + 3x3)

Solving
-2 + -6x = 1x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-2 + -6x + -1x2 + -3x3 = 1x2 + -1x2 + 3x3 + -3x3

Combine like terms: 1x2 + -1x2 = 0
-2 + -6x + -1x2 + -3x3 = 0 + 3x3 + -3x3
-2 + -6x + -1x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-2 + -6x + -1x2 + -3x3 = 0

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

Ignore the factor -1.

Subproblem 1
Set the factor '(2 + 6x + x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
2 + 6x + x2 + 3x3 = 0

Solving
2 + 6x + x2 + 3x3 = 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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