w^2+9w=-20

Solution for w^2+9w=-20 equation:

Simplifying
w2 + 9w = -20

Reorder the terms:
9w + w2 = -20

Solving
9w + w2 = -20

Solving for variable 'w'.

Reorder the terms:
20 + 9w + w2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 9w + w2 = 0

Factor a trinomial.
(5 + w)(4 + w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + w)' equal to zero and attempt to solve:

Simplifying
4 + w = 0

Solving
4 + w = 0

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

Add '-4' to each side of the equation.
4 + -4 + w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + w = 0 + -4
w = 0 + -4

Combine like terms: 0 + -4 = -4
w = -4

Simplifying
w = -4
Solution
w = {-5, -4}