2[2a-3a(2a+4b)+6a^2]=

Solution for 2[2a-3a(2a+4b)+6a^2]= equation:

Simplifying
2[2a + -3a(2a + 4b) + 6a2] = 0
2[2a + (2a * -3a + 4b * -3a) + 6a2] = 0

Reorder the terms:
2[2a + (-12ab + -6a2) + 6a2] = 0
2[2a + (-12ab + -6a2) + 6a2] = 0

Combine like terms: -6a2 + 6a2 = 0
2[2a + -12ab + 0] = 0
2[2a + -12ab] = 0
[2a * 2 + -12ab * 2] = 0
[4a + -24ab] = 0

Solving
4a + -24ab = 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), '4a'.
4a(1 + -6b) = 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 + -6b)' equal to zero and attempt to solve:

Simplifying
1 + -6b = 0

Solving
1 + -6b = 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 + -6b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6b = 0 + -1
-6b = 0 + -1

Combine like terms: 0 + -1 = -1
-6b = -1

Add '6b' to each side of the equation.
-6b + 6b = -1 + 6b

Combine like terms: -6b + 6b = 0
0 = -1 + 6b

Simplifying
0 = -1 + 6b

The solution to this equation could not be determined.

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