(3a^2+a+4)(2a-6)=

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Solution for (3a^2+a+4)(2a-6)= equation:


Simplifying
(3a2 + a + 4)(2a + -6) = 0

Reorder the terms:
(4 + a + 3a2)(2a + -6) = 0

Reorder the terms:
(4 + a + 3a2)(-6 + 2a) = 0

Multiply (4 + a + 3a2) * (-6 + 2a)
(4(-6 + 2a) + a(-6 + 2a) + 3a2 * (-6 + 2a)) = 0
((-6 * 4 + 2a * 4) + a(-6 + 2a) + 3a2 * (-6 + 2a)) = 0
((-24 + 8a) + a(-6 + 2a) + 3a2 * (-6 + 2a)) = 0
(-24 + 8a + (-6 * a + 2a * a) + 3a2 * (-6 + 2a)) = 0
(-24 + 8a + (-6a + 2a2) + 3a2 * (-6 + 2a)) = 0
(-24 + 8a + -6a + 2a2 + (-6 * 3a2 + 2a * 3a2)) = 0
(-24 + 8a + -6a + 2a2 + (-18a2 + 6a3)) = 0

Combine like terms: 8a + -6a = 2a
(-24 + 2a + 2a2 + -18a2 + 6a3) = 0

Combine like terms: 2a2 + -18a2 = -16a2
(-24 + 2a + -16a2 + 6a3) = 0

Solving
-24 + 2a + -16a2 + 6a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + a + -8a2 + 3a3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + a + -8a2 + 3a3)' equal to zero and attempt to solve: Simplifying -12 + a + -8a2 + 3a3 = 0 Solving -12 + a + -8a2 + 3a3 = 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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