2(1-2a)(4a^2-1)=0

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Solution for 2(1-2a)(4a^2-1)=0 equation: 


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

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

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

Reorder the terms:
2(-1 + 2a + 4a2 + -8a3) = 0
2(-1 + 2a + 4a2 + -8a3) = 0
(-1 * 2 + 2a * 2 + 4a2 * 2 + -8a3 * 2) = 0
(-2 + 4a + 8a2 + -16a3) = 0

Solving
-2 + 4a + 8a2 + -16a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2a + 4a2 + -8a3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 2a + 4a2 + -8a3)' equal to zero and attempt to solve:

Simplifying
-1 + 2a + 4a2 + -8a3 = 0

Solving
-1 + 2a + 4a2 + -8a3 = 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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