6a-15a^3=

Solution for 6a-15a^3= equation:

Simplifying
6a + -15a3 = 0

Solving
6a + -15a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(2 + -5a2) = 0

Ignore the factor 3.
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 '(2 + -5a2)' equal to zero and attempt to solve:

Simplifying
2 + -5a2 = 0

Solving
2 + -5a2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a2 = 0 + -2
-5a2 = 0 + -2

Combine like terms: 0 + -2 = -2
-5a2 = -2

Divide each side by '-5'.
a2 = 0.4

Simplifying
a2 = 0.4

Take the square root of each side:
a = {-0.632455532, 0.632455532}
Solution
a = {0, -0.632455532, 0.632455532}