a^2b^4-a^4b^2=0

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

Simplifying
a2b4 + -1a4b2 = 0

Solving
a2b4 + -1a4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2b2'.
a2b2(b2 + -1a2) = 0

Factor a difference between two squares.
a2b2((b + a)(b + -1a)) = 0

Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve:

Simplifying
a2b2 = 0

Solving
a2b2 = 0

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

Simplifying
a2b2 = 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 + a)' equal to zero and attempt to solve:

Simplifying
b + a = 0

Reorder the terms:
a + b = 0

Solving
a + b = 0

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

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

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

Simplifying
a = -1b
Subproblem 3
Set the factor '(b + -1a)' equal to zero and attempt to solve:

Simplifying
b + -1a = 0

Reorder the terms:
-1a + b = 0

Solving
-1a + b = 0

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

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

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

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

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