(w+11)(w+6)=0

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

Simplifying
(w + 11)(w + 6) = 0

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

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

Multiply (11 + w) * (6 + w)
(11(6 + w) + w(6 + w)) = 0
((6 * 11 + w * 11) + w(6 + w)) = 0
((66 + 11w) + w(6 + w)) = 0
(66 + 11w + (6 * w + w * w)) = 0
(66 + 11w + (6w + w2)) = 0

Combine like terms: 11w + 6w = 17w
(66 + 17w + w2) = 0

Solving
66 + 17w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(11 + w)' equal to zero and attempt to solve:

Simplifying
11 + w = 0

Solving
11 + w = 0

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

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

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

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

Simplifying
w = -11
Subproblem 2
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
Solution
w = {-11, -6}