75a^4b-3a^2b=0

Solution for 75a^4b-3a^2b=0 equation:

Simplifying
75a4b + -3a2b = 0

Reorder the terms:
-3a2b + 75a4b = 0

Solving
-3a2b + 75a4b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2b'.
3a2b(-1 + 25a2) = 0

Factor a difference between two squares.
3a2b((1 + 5a)(-1 + 5a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve:

Simplifying
a2b = 0

Solving
a2b = 0

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

Simplifying
a2b = 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 + 5a)' equal to zero and attempt to solve:

Simplifying
1 + 5a = 0

Solving
1 + 5a = 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 + 5a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5a = 0 + -1
5a = 0 + -1

Combine like terms: 0 + -1 = -1
5a = -1

Divide each side by '5'.
a = -0.2

Simplifying
a = -0.2
Subproblem 3
Set the factor '(-1 + 5a)' equal to zero and attempt to solve:

Simplifying
-1 + 5a = 0

Solving
-1 + 5a = 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 + 5a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5a = 0 + 1
5a = 0 + 1

Combine like terms: 0 + 1 = 1
5a = 1

Divide each side by '5'.
a = 0.2

Simplifying
a = 0.2
Solution
a = {-0.2, 0.2}