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

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

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

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

Combine like terms: -6a2 + 6a2 = 0
6[6a + -6ab + 0] = 0
6[6a + -6ab] = 0
[6a * 6 + -6ab * 6] = 0
[36a + -36ab] = 0

Solving
36a + -36ab = 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), '36a'.
36a(1 + -1b) = 0

Ignore the factor 36.
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 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

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

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

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

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

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

Simplifying
0 = -1 + b

The solution to this equation could not be determined.

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