6[3a-2a(3a-5b)+6a^2]=

Solution for 6[3a-2a(3a-5b)+6a^2]= equation:

Simplifying
6[3a + -2a(3a + -5b) + 6a2] = 0
6[3a + (3a * -2a + -5b * -2a) + 6a2] = 0

Reorder the terms:
6[3a + (10ab + -6a2) + 6a2] = 0
6[3a + (10ab + -6a2) + 6a2] = 0

Combine like terms: -6a2 + 6a2 = 0
6[3a + 10ab + 0] = 0
6[3a + 10ab] = 0
[3a * 6 + 10ab * 6] = 0
[18a + 60ab] = 0

Solving
18a + 60ab = 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), '6a'.
6a(3 + 10b) = 0

Ignore the factor 6.
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 '(3 + 10b)' equal to zero and attempt to solve:

Simplifying
3 + 10b = 0

Solving
3 + 10b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 10b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10b = 0 + -3
10b = 0 + -3

Combine like terms: 0 + -3 = -3
10b = -3

Add '-10b' to each side of the equation.
10b + -10b = -3 + -10b

Combine like terms: 10b + -10b = 0
0 = -3 + -10b

Simplifying
0 = -3 + -10b

The solution to this equation could not be determined.

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