6[3a-3a(3a+4b)+9a^2]=

Solution for 6[3a-3a(3a+4b)+9a^2]= equation:

Simplifying
6[3a + -3a(3a + 4b) + 9a2] = 0
6[3a + (3a * -3a + 4b * -3a) + 9a2] = 0

Reorder the terms:
6[3a + (-12ab + -9a2) + 9a2] = 0
6[3a + (-12ab + -9a2) + 9a2] = 0

Combine like terms: -9a2 + 9a2 = 0
6[3a + -12ab + 0] = 0
6[3a + -12ab] = 0
[3a * 6 + -12ab * 6] = 0
[18a + -72ab] = 0

Solving
18a + -72ab = 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), '18a'.
18a(1 + -4b) = 0

Ignore the factor 18.
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 + -4b)' equal to zero and attempt to solve:

Simplifying
1 + -4b = 0

Solving
1 + -4b = 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 + -4b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4b = 0 + -1
-4b = 0 + -1

Combine like terms: 0 + -1 = -1
-4b = -1

Add '4b' to each side of the equation.
-4b + 4b = -1 + 4b

Combine like terms: -4b + 4b = 0
0 = -1 + 4b

Simplifying
0 = -1 + 4b

The solution to this equation could not be determined.

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