15a-25a^3=0

Solution for 15a-25a^3=0 equation:

Simplifying
15a + -25a3 = 0

Solving
15a + -25a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(3 + -5a2) = 0

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(3 + -5a2)' equal to zero and attempt to solve:

Simplifying
3 + -5a2 = 0

Solving
3 + -5a2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5a2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5a2 = 0 + -3
-5a2 = 0 + -3

Combine like terms: 0 + -3 = -3
-5a2 = -3

Divide each side by '-5'.
a2 = 0.6

Simplifying
a2 = 0.6

Take the square root of each side:
a = {-0.774596669, 0.774596669}
Solution
a = {0, -0.774596669, 0.774596669}