2a(4a^2-6+8)=

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

Simplifying
2a(4a2 + -6 + 8) = 0

Reorder the terms:
2a(-6 + 8 + 4a2) = 0

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

Solving
4a + 8a3 = 0

Solving for variable 'a'.

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

Ignore the factor 4.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0
Subproblem 2
Set the factor '(1 + 2a2)' equal to zero and attempt to solve:

Simplifying
1 + 2a2 = 0

Solving
1 + 2a2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2a2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a2 = 0 + -1
2a2 = 0 + -1

Combine like terms: 0 + -1 = -1
2a2 = -1

Divide each side by '2'.
a2 = -0.5

Simplifying
a2 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}