5w(2w^2+6w)=

Solution for 5w(2w^2+6w)= equation:

Simplifying
5w(2w2 + 6w) = 0

Reorder the terms:
5w(6w + 2w2) = 0
(6w * 5w + 2w2 * 5w) = 0
(30w2 + 10w3) = 0

Solving
30w2 + 10w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '10w2'.
10w2(3 + w) = 0

Ignore the factor 10.
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 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

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

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

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

Simplifying
w = -3
Solution
w = {0, -3}