=4ab^2+12a^2b

Solution for =4ab^2+12a^2b equation:

Simplifying
0 = 4ab2 + 12a2b

Solving
0 = 4ab2 + 12a2b

Solving for variable 'a'.
Remove the zero:
-4ab2 + -12a2b = 4ab2 + 12a2b + -4ab2 + -12a2b

Reorder the terms:
-4ab2 + -12a2b = 4ab2 + -4ab2 + 12a2b + -12a2b

Combine like terms: 4ab2 + -4ab2 = 0
-4ab2 + -12a2b = 0 + 12a2b + -12a2b
-4ab2 + -12a2b = 12a2b + -12a2b

Combine like terms: 12a2b + -12a2b = 0
-4ab2 + -12a2b = 0

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

Ignore the factor -4.
Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

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 '(b + 3a)' equal to zero and attempt to solve:

Simplifying
b + 3a = 0

Reorder the terms:
3a + b = 0

Solving
3a + b = 0

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

Add '-1b' to each side of the equation.
3a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
3a + 0 = 0 + -1b
3a = 0 + -1b
Remove the zero:
3a = -1b

Divide each side by '3'.
a = -0.3333333333b

Simplifying
a = -0.3333333333b
Solution
a = {-0.3333333333b}