w^2+13w+30=0

Solution for w^2+13w+30=0 equation:

Simplifying
w2 + 13w + 30 = 0

Reorder the terms:
30 + 13w + w2 = 0

Solving
30 + 13w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(10 + w)' equal to zero and attempt to solve:

Simplifying
10 + w = 0

Solving
10 + w = 0

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

Add '-10' to each side of the equation.
10 + -10 + w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + w = 0 + -10
w = 0 + -10

Combine like terms: 0 + -10 = -10
w = -10

Simplifying
w = -10
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 = {-10, -3}