w^2+30w+81=0

Solution for w^2+30w+81=0 equation:

Simplifying
w2 + 30w + 81 = 0

Reorder the terms:
81 + 30w + w2 = 0

Solving
81 + 30w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(27 + w)' equal to zero and attempt to solve:

Simplifying
27 + w = 0

Solving
27 + w = 0

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

Add '-27' to each side of the equation.
27 + -27 + w = 0 + -27

Combine like terms: 27 + -27 = 0
0 + w = 0 + -27
w = 0 + -27

Combine like terms: 0 + -27 = -27
w = -27

Simplifying
w = -27
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 = {-27, -3}