15w^3-9w^2=

Solution for 15w^3-9w^2= equation:

Simplifying
15w3 + -9w2 = 0

Reorder the terms:
-9w2 + 15w3 = 0

Solving
-9w2 + 15w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w2'.
3w2(-3 + 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 '(-3 + 5w)' equal to zero and attempt to solve:

Simplifying
-3 + 5w = 0

Solving
-3 + 5w = 0

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

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

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

Combine like terms: 0 + 3 = 3
5w = 3

Divide each side by '5'.
w = 0.6

Simplifying
w = 0.6
Solution
w = {0, 0.6}