5w(11w+6)=0

Solution for 5w(11w+6)=0 equation:

Simplifying
5w(11w + 6) = 0

Reorder the terms:
5w(6 + 11w) = 0
(6 * 5w + 11w * 5w) = 0
(30w + 55w2) = 0

Solving
30w + 55w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w'.
5w(6 + 11w) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(6 + 11w)' equal to zero and attempt to solve:

Simplifying
6 + 11w = 0

Solving
6 + 11w = 0

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

Add '-6' to each side of the equation.
6 + -6 + 11w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11w = 0 + -6
11w = 0 + -6

Combine like terms: 0 + -6 = -6
11w = -6

Divide each side by '11'.
w = -0.5454545455

Simplifying
w = -0.5454545455
Solution
w = {0, -0.5454545455}