5a^3b^3-15a^5b^5=0

Solution for 5a^3b^3-15a^5b^5=0 equation:

Simplifying
5a3b3 + -15a5b5 = 0

Solving
5a3b3 + -15a5b5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a3b3'.
5a3b3(1 + -3a2b2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'a3b3' equal to zero and attempt to solve:

Simplifying
a3b3 = 0

Solving
a3b3 = 0

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

Simplifying
a3b3 = 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 + -3a2b2)' equal to zero and attempt to solve:

Simplifying
1 + -3a2b2 = 0

Solving
1 + -3a2b2 = 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 + -3a2b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3a2b2 = 0 + -1
-3a2b2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3a2b2 = -1

Divide each side by '-3b2'.
a2 = 0.3333333333b-2

Simplifying
a2 = 0.3333333333b-2

Take the square root of each side:
a = {-0.577350269b-1, 0.577350269b-1}
Solution
a = {-0.577350269b-1, 0.577350269b-1}