6x^3+6x^2+6x=14x^2+14

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Solution for 6x^3+6x^2+6x=14x^2+14 equation:


Simplifying
6x3 + 6x2 + 6x = 14x2 + 14

Reorder the terms:
6x + 6x2 + 6x3 = 14x2 + 14

Reorder the terms:
6x + 6x2 + 6x3 = 14 + 14x2

Solving
6x + 6x2 + 6x3 = 14 + 14x2

Solving for variable 'x'.

Reorder the terms:
-14 + 6x + 6x2 + -14x2 + 6x3 = 14 + 14x2 + -14 + -14x2

Combine like terms: 6x2 + -14x2 = -8x2
-14 + 6x + -8x2 + 6x3 = 14 + 14x2 + -14 + -14x2

Reorder the terms:
-14 + 6x + -8x2 + 6x3 = 14 + -14 + 14x2 + -14x2

Combine like terms: 14 + -14 = 0
-14 + 6x + -8x2 + 6x3 = 0 + 14x2 + -14x2
-14 + 6x + -8x2 + 6x3 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-14 + 6x + -8x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 3x + -4x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + 3x + -4x2 + 3x3)' equal to zero and attempt to solve: Simplifying -7 + 3x + -4x2 + 3x3 = 0 Solving -7 + 3x + -4x2 + 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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