(4a+2)(6a^2-a+2)=0

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Solution for (4a+2)(6a^2-a+2)=0 equation:


Simplifying
(4a + 2)(6a2 + -1a + 2) = 0

Reorder the terms:
(2 + 4a)(6a2 + -1a + 2) = 0

Reorder the terms:
(2 + 4a)(2 + -1a + 6a2) = 0

Multiply (2 + 4a) * (2 + -1a + 6a2)
(2(2 + -1a + 6a2) + 4a * (2 + -1a + 6a2)) = 0
((2 * 2 + -1a * 2 + 6a2 * 2) + 4a * (2 + -1a + 6a2)) = 0
((4 + -2a + 12a2) + 4a * (2 + -1a + 6a2)) = 0
(4 + -2a + 12a2 + (2 * 4a + -1a * 4a + 6a2 * 4a)) = 0
(4 + -2a + 12a2 + (8a + -4a2 + 24a3)) = 0

Reorder the terms:
(4 + -2a + 8a + 12a2 + -4a2 + 24a3) = 0

Combine like terms: -2a + 8a = 6a
(4 + 6a + 12a2 + -4a2 + 24a3) = 0

Combine like terms: 12a2 + -4a2 = 8a2
(4 + 6a + 8a2 + 24a3) = 0

Solving
4 + 6a + 8a2 + 24a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 3a + 4a2 + 12a3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + 3a + 4a2 + 12a3)' equal to zero and attempt to solve: Simplifying 2 + 3a + 4a2 + 12a3 = 0 Solving 2 + 3a + 4a2 + 12a3 = 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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