abx-a^2b=0

Solution for abx-a^2b=0 equation:

Simplifying
abx + -1a2b = 0

Solving
abx + -1a2b = 0

Solving for variable 'a'.

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

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 '(x + -1a)' equal to zero and attempt to solve:

Simplifying
x + -1a = 0

Reorder the terms:
-1a + x = 0

Solving
-1a + x = 0

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

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

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

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

Simplifying
a = x
Solution
a = {x}