(w+9)(w+11)=0

Solution for (w+9)(w+11)=0 equation:

Simplifying
(w + 9)(w + 11) = 0

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

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

Multiply (9 + w) * (11 + w)
(9(11 + w) + w(11 + w)) = 0
((11 * 9 + w * 9) + w(11 + w)) = 0
((99 + 9w) + w(11 + w)) = 0
(99 + 9w + (11 * w + w * w)) = 0
(99 + 9w + (11w + w2)) = 0

Combine like terms: 9w + 11w = 20w
(99 + 20w + w2) = 0

Solving
99 + 20w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(11 + w)(9 + 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 '(9 + w)' equal to zero and attempt to solve:

Simplifying
9 + w = 0

Solving
9 + w = 0

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

Add '-9' to each side of the equation.
9 + -9 + w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + w = 0 + -9
w = 0 + -9

Combine like terms: 0 + -9 = -9
w = -9

Simplifying
w = -9
Solution
w = {-11, -9}