(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 + a + 2) = 0

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

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

Multiply (-2 + 4a) * (2 + a + 6a2)
(-2(2 + a + 6a2) + 4a * (2 + a + 6a2)) = 0
((2 * -2 + a * -2 + 6a2 * -2) + 4a * (2 + a + 6a2)) = 0
((-4 + -2a + -12a2) + 4a * (2 + a + 6a2)) = 0
(-4 + -2a + -12a2 + (2 * 4a + a * 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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