(6x+7)(6x^2+6x+6)=

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Solution for (6x+7)(6x^2+6x+6)= equation:


Simplifying
(6x + 7)(6x2 + 6x + 6) = 0

Reorder the terms:
(7 + 6x)(6x2 + 6x + 6) = 0

Reorder the terms:
(7 + 6x)(6 + 6x + 6x2) = 0

Multiply (7 + 6x) * (6 + 6x + 6x2)
(7(6 + 6x + 6x2) + 6x * (6 + 6x + 6x2)) = 0
((6 * 7 + 6x * 7 + 6x2 * 7) + 6x * (6 + 6x + 6x2)) = 0
((42 + 42x + 42x2) + 6x * (6 + 6x + 6x2)) = 0
(42 + 42x + 42x2 + (6 * 6x + 6x * 6x + 6x2 * 6x)) = 0
(42 + 42x + 42x2 + (36x + 36x2 + 36x3)) = 0

Reorder the terms:
(42 + 42x + 36x + 42x2 + 36x2 + 36x3) = 0

Combine like terms: 42x + 36x = 78x
(42 + 78x + 42x2 + 36x2 + 36x3) = 0

Combine like terms: 42x2 + 36x2 = 78x2
(42 + 78x + 78x2 + 36x3) = 0

Solving
42 + 78x + 78x2 + 36x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(7 + 13x + 13x2 + 6x3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(7 + 13x + 13x2 + 6x3)' equal to zero and attempt to solve: Simplifying 7 + 13x + 13x2 + 6x3 = 0 Solving 7 + 13x + 13x2 + 6x3 = 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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