-3a^2b+12ab-12b=0

Solution for -3a^2b+12ab-12b=0 equation:

Simplifying
-3a2b + 12ab + -12b = 0

Reorder the terms:
12ab + -3a2b + -12b = 0

Solving
12ab + -3a2b + -12b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(4a + -1a2 + -4) = 0

Factor a trinomial.
3b((-1a + 2)(a + -2)) = 0

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

Simplifying
b = 0

Solving
b = 0

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

Add '-1b' to each side of the equation.
b + -1b = 0 + -1b
Remove the zero:
0 = -1b

Simplifying
0 = -1b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1a + 2)' equal to zero and attempt to solve:

Simplifying
-1a + 2 = 0

Reorder the terms:
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 3
Set the factor '(a + -2)' equal to zero and attempt to solve:

Simplifying
a + -2 = 0

Reorder the terms:
-2 + a = 0

Solving
-2 + a = 0

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

Add '2' to each side of the equation.
-2 + 2 + a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + a = 0 + 2
a = 0 + 2

Combine like terms: 0 + 2 = 2
a = 2

Simplifying
a = 2
Solution
a = {2, 2}