w^2+12w+36+5=5

Solution for w^2+12w+36+5=5 equation:

Simplifying
w2 + 12w + 36 + 5 = 5

Reorder the terms:
36 + 5 + 12w + w2 = 5

Combine like terms: 36 + 5 = 41
41 + 12w + w2 = 5

Solving
41 + 12w + w2 = 5

Solving for variable 'w'.

Reorder the terms:
41 + -5 + 12w + w2 = 5 + -5

Combine like terms: 41 + -5 = 36
36 + 12w + w2 = 5 + -5

Combine like terms: 5 + -5 = 0
36 + 12w + w2 = 0

Factor a trinomial.
(6 + w)(6 + w) = 0

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 '(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
Solution
w = {-6, -6}