(6q+2)(6q+3)(6q+4)=

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Solution for (6q+2)(6q+3)(6q+4)= equation: 


Simplifying
(6q + 2)(6q + 3)(6q + 4) = 0

Reorder the terms:
(2 + 6q)(6q + 3)(6q + 4) = 0

Reorder the terms:
(2 + 6q)(3 + 6q)(6q + 4) = 0

Reorder the terms:
(2 + 6q)(3 + 6q)(4 + 6q) = 0

Multiply (2 + 6q) * (3 + 6q)
(2(3 + 6q) + 6q * (3 + 6q))(4 + 6q) = 0
((3 * 2 + 6q * 2) + 6q * (3 + 6q))(4 + 6q) = 0
((6 + 12q) + 6q * (3 + 6q))(4 + 6q) = 0
(6 + 12q + (3 * 6q + 6q * 6q))(4 + 6q) = 0
(6 + 12q + (18q + 36q2))(4 + 6q) = 0

Combine like terms: 12q + 18q = 30q
(6 + 30q + 36q2)(4 + 6q) = 0

Multiply (6 + 30q + 36q2) * (4 + 6q)
(6(4 + 6q) + 30q * (4 + 6q) + 36q2 * (4 + 6q)) = 0
((4 * 6 + 6q * 6) + 30q * (4 + 6q) + 36q2 * (4 + 6q)) = 0
((24 + 36q) + 30q * (4 + 6q) + 36q2 * (4 + 6q)) = 0
(24 + 36q + (4 * 30q + 6q * 30q) + 36q2 * (4 + 6q)) = 0
(24 + 36q + (120q + 180q2) + 36q2 * (4 + 6q)) = 0
(24 + 36q + 120q + 180q2 + (4 * 36q2 + 6q * 36q2)) = 0
(24 + 36q + 120q + 180q2 + (144q2 + 216q3)) = 0

Combine like terms: 36q + 120q = 156q
(24 + 156q + 180q2 + 144q2 + 216q3) = 0

Combine like terms: 180q2 + 144q2 = 324q2
(24 + 156q + 324q2 + 216q3) = 0

Solving
24 + 156q + 324q2 + 216q3 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '12'.
12(2 + 13q + 27q2 + 18q3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(2 + 13q + 27q2 + 18q3)' equal to zero and attempt to solve:

Simplifying
2 + 13q + 27q2 + 18q3 = 0

Solving
2 + 13q + 27q2 + 18q3 = 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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