2w^2(3+2w)=0

Solution for 2w^2(3+2w)=0 equation:

Simplifying
2w2(3 + 2w) = 0
(3 * 2w2 + 2w * 2w2) = 0
(6w2 + 4w3) = 0

Solving
6w2 + 4w3 = 0

Solving for variable 'w'.

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

Ignore the factor 2.
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 + 2w)' equal to zero and attempt to solve:

Simplifying
3 + 2w = 0

Solving
3 + 2w = 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 + 2w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2w = 0 + -3
2w = 0 + -3

Combine like terms: 0 + -3 = -3
2w = -3

Divide each side by '2'.
w = -1.5

Simplifying
w = -1.5
Solution
w = {0, -1.5}