4a^2b^2+-16ab=0

Solution for 4a^2b^2+-16ab=0 equation:

Simplifying
4a2b2 + -16ab = 0

Reorder the terms:
-16ab + 4a2b2 = 0

Solving
-16ab + 4a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab'.
4ab(-4 + ab) = 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 '(-4 + ab)' equal to zero and attempt to solve:

Simplifying
-4 + ab = 0

Solving
-4 + ab = 0

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

Add '4' to each side of the equation.
-4 + 4 + ab = 0 + 4

Combine like terms: -4 + 4 = 0
0 + ab = 0 + 4
ab = 0 + 4

Combine like terms: 0 + 4 = 4
ab = 4

Divide each side by 'b'.
a = 4b-1

Simplifying
a = 4b-1
Solution
a = {4b-1}