15w^3+6w^2=0

Solution for 15w^3+6w^2=0 equation:

Simplifying
15w3 + 6w2 = 0

Reorder the terms:
6w2 + 15w3 = 0

Solving
6w2 + 15w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w2'.
3w2(2 + 5w) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve:

Simplifying
w2 = 0

Solving
w2 = 0

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

Simplifying
w2 = 0

Take the square root of each side:
w = {0}
Subproblem 2
Set the factor '(2 + 5w)' equal to zero and attempt to solve:

Simplifying
2 + 5w = 0

Solving
2 + 5w = 0

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

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

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

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

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

Simplifying
w = -0.4
Solution
w = {0, -0.4}