6a^2b^2+3ab^2-a^2b^2-4ab^2=

Solution for 6a^2b^2+3ab^2-a^2b^2-4ab^2= equation:

Simplifying
6a2b2 + 3ab2 + -1a2b2 + -4ab2 = 0

Reorder the terms:
3ab2 + -4ab2 + 6a2b2 + -1a2b2 = 0

Combine like terms: 3ab2 + -4ab2 = -1ab2
-1ab2 + 6a2b2 + -1a2b2 = 0

Combine like terms: 6a2b2 + -1a2b2 = 5a2b2
-1ab2 + 5a2b2 = 0

Solving
-1ab2 + 5a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab2'.
ab2(-1 + 5a) = 0

Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve:

Simplifying
ab2 = 0

Solving
ab2 = 0

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

Simplifying
ab2 = 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 '(-1 + 5a)' equal to zero and attempt to solve:

Simplifying
-1 + 5a = 0

Solving
-1 + 5a = 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 + 5a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5a = 0 + 1
5a = 0 + 1

Combine like terms: 0 + 1 = 1
5a = 1

Divide each side by '5'.
a = 0.2

Simplifying
a = 0.2
Solution
a = {0.2}