3a^2b^5-3a^4b^3=

Solution for 3a^2b^5-3a^4b^3= equation:

Simplifying
3a2b5 + -3a4b3 = 0

Solving
3a2b5 + -3a4b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2b3'.
3a2b3(b2 + -1a2) = 0

Factor a difference between two squares.
3a2b3((b + a)(b + -1a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'a2b3' equal to zero and attempt to solve:

Simplifying
a2b3 = 0

Solving
a2b3 = 0

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

Simplifying
a2b3 = 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}