6[4a-4a(2a+2b)+8a^2]=

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

Simplifying
6[4a + -4a(2a + 2b) + 8a2] = 0
6[4a + (2a * -4a + 2b * -4a) + 8a2] = 0

Reorder the terms:
6[4a + (-8ab + -8a2) + 8a2] = 0
6[4a + (-8ab + -8a2) + 8a2] = 0

Combine like terms: -8a2 + 8a2 = 0
6[4a + -8ab + 0] = 0
6[4a + -8ab] = 0
[4a * 6 + -8ab * 6] = 0
[24a + -48ab] = 0

Solving
24a + -48ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '24a'.
24a(1 + -2b) = 0

Ignore the factor 24.
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 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 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 + -2b = 0 + -1

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

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

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

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

Simplifying
0 = -1 + 2b

The solution to this equation could not be determined.

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