(8q-4)(6q^2+q+1)=

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Solution for (8q-4)(6q^2+q+1)= equation:


Simplifying
(8q + -4)(6q2 + q + 1) = 0

Reorder the terms:
(-4 + 8q)(6q2 + q + 1) = 0

Reorder the terms:
(-4 + 8q)(1 + q + 6q2) = 0

Multiply (-4 + 8q) * (1 + q + 6q2)
(-4(1 + q + 6q2) + 8q * (1 + q + 6q2)) = 0
((1 * -4 + q * -4 + 6q2 * -4) + 8q * (1 + q + 6q2)) = 0
((-4 + -4q + -24q2) + 8q * (1 + q + 6q2)) = 0
(-4 + -4q + -24q2 + (1 * 8q + q * 8q + 6q2 * 8q)) = 0
(-4 + -4q + -24q2 + (8q + 8q2 + 48q3)) = 0

Reorder the terms:
(-4 + -4q + 8q + -24q2 + 8q2 + 48q3) = 0

Combine like terms: -4q + 8q = 4q
(-4 + 4q + -24q2 + 8q2 + 48q3) = 0

Combine like terms: -24q2 + 8q2 = -16q2
(-4 + 4q + -16q2 + 48q3) = 0

Solving
-4 + 4q + -16q2 + 48q3 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + q + -4q2 + 12q3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + q + -4q2 + 12q3)' equal to zero and attempt to solve: Simplifying -1 + q + -4q2 + 12q3 = 0 Solving -1 + q + -4q2 + 12q3 = 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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