(w+5)(w+6)=0

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

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

Reorder the terms:
(5 + w)(w + 6) = 0

Reorder the terms:
(5 + w)(6 + w) = 0

Multiply (5 + w) * (6 + w)
(5(6 + w) + w(6 + w)) = 0
((6 * 5 + w * 5) + w(6 + w)) = 0
((30 + 5w) + w(6 + w)) = 0
(30 + 5w + (6 * w + w * w)) = 0
(30 + 5w + (6w + w2)) = 0

Combine like terms: 5w + 6w = 11w
(30 + 11w + w2) = 0

Solving
30 + 11w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(6 + w)(5 + w) = 0

Subproblem 1
Set the factor '(6 + w)' equal to zero and attempt to solve:

Simplifying
6 + w = 0

Solving
6 + w = 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 + w = 0 + -6

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

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

Simplifying
w = -6
Subproblem 2
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 0

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

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

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

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

Simplifying
w = -5
Solution
w = {-6, -5}