3a^2-27a^2b=0

Solution for 3a^2-27a^2b=0 equation:

Simplifying
3a2 + -27a2b = 0

Solving
3a2 + -27a2b = 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), '3a2'.
3a2(1 + -9b) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(1 + -9b)' equal to zero and attempt to solve:

Simplifying
1 + -9b = 0

Solving
1 + -9b = 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 + -9b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9b = 0 + -1
-9b = 0 + -1

Combine like terms: 0 + -1 = -1
-9b = -1

Add '9b' to each side of the equation.
-9b + 9b = -1 + 9b

Combine like terms: -9b + 9b = 0
0 = -1 + 9b

Simplifying
0 = -1 + 9b

The solution to this equation could not be determined.

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