0=w^2+9w+18

Solution for 0=w^2+9w+18 equation:

Simplifying
0 = w2 + 9w + 18

Reorder the terms:
0 = 18 + 9w + w2

Solving
0 = 18 + 9w + w2

Solving for variable 'w'.

Combine like terms: 0 + -18 = -18
-18 + -9w + -1w2 = 18 + 9w + w2 + -18 + -9w + -1w2

Reorder the terms:
-18 + -9w + -1w2 = 18 + -18 + 9w + -9w + w2 + -1w2

Combine like terms: 18 + -18 = 0
-18 + -9w + -1w2 = 0 + 9w + -9w + w2 + -1w2
-18 + -9w + -1w2 = 9w + -9w + w2 + -1w2

Combine like terms: 9w + -9w = 0
-18 + -9w + -1w2 = 0 + w2 + -1w2
-18 + -9w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-18 + -9w + -1w2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(18 + 9w + w2) = 0

Factor a trinomial.
-1((6 + w)(3 + w)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + w)' equal to zero and attempt to solve:

Simplifying
6 + w = 0

Solving
6 + w = 0

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

Add '-6' to each side of the equation.
6 + -6 + w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + w = 0 + -6
w = 0 + -6

Combine like terms: 0 + -6 = -6
w = -6

Simplifying
w = -6
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 = {-6, -3}