w^2+30w+161=0

Solution for w^2+30w+161=0 equation:

Simplifying
w2 + 30w + 161 = 0

Reorder the terms:
161 + 30w + w2 = 0

Solving
161 + 30w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(23 + w)(7 + w) = 0

Subproblem 1
Set the factor '(23 + w)' equal to zero and attempt to solve:

Simplifying
23 + w = 0

Solving
23 + w = 0

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

Add '-23' to each side of the equation.
23 + -23 + w = 0 + -23

Combine like terms: 23 + -23 = 0
0 + w = 0 + -23
w = 0 + -23

Combine like terms: 0 + -23 = -23
w = -23

Simplifying
w = -23
Subproblem 2
Set the factor '(7 + w)' equal to zero and attempt to solve:

Simplifying
7 + w = 0

Solving
7 + w = 0

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

Add '-7' to each side of the equation.
7 + -7 + w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + w = 0 + -7
w = 0 + -7

Combine like terms: 0 + -7 = -7
w = -7

Simplifying
w = -7
Solution
w = {-23, -7}