w^2+45+18w=0

Solution for w^2+45+18w=0 equation:

Simplifying
w2 + 45 + 18w = 0

Reorder the terms:
45 + 18w + w2 = 0

Solving
45 + 18w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(15 + w)(3 + w) = 0

Subproblem 1
Set the factor '(15 + w)' equal to zero and attempt to solve:

Simplifying
15 + w = 0

Solving
15 + w = 0

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

Add '-15' to each side of the equation.
15 + -15 + w = 0 + -15

Combine like terms: 15 + -15 = 0
0 + w = 0 + -15
w = 0 + -15

Combine like terms: 0 + -15 = -15
w = -15

Simplifying
w = -15
Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 0

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

Add '-3' to each side of the equation.
3 + -3 + w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + w = 0 + -3
w = 0 + -3

Combine like terms: 0 + -3 = -3
w = -3

Simplifying
w = -3
Solution
w = {-15, -3}