99=(w+2)(w)

Solution for 99=(w+2)(w) equation:

Simplifying
99 = (w + 2)(w)

Reorder the terms:
99 = (2 + w)(w)

Reorder the terms for easier multiplication:
99 = w(2 + w)
99 = (2 * w + w * w)
99 = (2w + w2)

Solving
99 = 2w + w2

Solving for variable 'w'.

Reorder the terms:
99 + -2w + -1w2 = 2w + -2w + w2 + -1w2

Combine like terms: 2w + -2w = 0
99 + -2w + -1w2 = 0 + w2 + -1w2
99 + -2w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
99 + -2w + -1w2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
w = {9, -11}