(w+11)(w-9)=

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

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

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

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

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

Combine like terms: 11w + -9w = 2w
(-99 + 2w + w2) = 0

Solving
-99 + 2w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-11 + -1w)(9 + -1w) = 0

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

Simplifying
-11 + -1w = 0

Solving
-11 + -1w = 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 + -1w = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1w = 0 + 11
-1w = 0 + 11

Combine like terms: 0 + 11 = 11
-1w = 11

Divide each side by '-1'.
w = -11

Simplifying
w = -11
Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve:

Simplifying
9 + -1w = 0

Solving
9 + -1w = 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 + -1w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w = 0 + -9
-1w = 0 + -9

Combine like terms: 0 + -9 = -9
-1w = -9

Divide each side by '-1'.
w = 9

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