(w+12)(w+5)=

Solution for (w+12)(w+5)= equation:

Simplifying
(w + 12)(w + 5) = 0

Reorder the terms:
(12 + w)(w + 5) = 0

Reorder the terms:
(12 + w)(5 + w) = 0

Multiply (12 + w) * (5 + w)
(12(5 + w) + w(5 + w)) = 0
((5 * 12 + w * 12) + w(5 + w)) = 0
((60 + 12w) + w(5 + w)) = 0
(60 + 12w + (5 * w + w * w)) = 0
(60 + 12w + (5w + w2)) = 0

Combine like terms: 12w + 5w = 17w
(60 + 17w + w2) = 0

Solving
60 + 17w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(12 + w)(5 + w) = 0

Subproblem 1
Set the factor '(12 + w)' equal to zero and attempt to solve:

Simplifying
12 + w = 0

Solving
12 + w = 0

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

Add '-12' to each side of the equation.
12 + -12 + w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + w = 0 + -12
w = 0 + -12

Combine like terms: 0 + -12 = -12
w = -12

Simplifying
w = -12
Subproblem 2
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 0

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

Add '-5' to each side of the equation.
5 + -5 + w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + w = 0 + -5
w = 0 + -5

Combine like terms: 0 + -5 = -5
w = -5

Simplifying
w = -5
Solution
w = {-12, -5}