W^2+13W+12=0

Solution for W^2+13W+12=0 equation:

Simplifying
W2 + 13W + 12 = 0

Reorder the terms:
12 + 13W + W2 = 0

Solving
12 + 13W + W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(12 + W)(1 + 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 '(1 + W)' equal to zero and attempt to solve:

Simplifying
1 + W = 0

Solving
1 + W = 0

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

Add '-1' to each side of the equation.
1 + -1 + W = 0 + -1

Combine like terms: 1 + -1 = 0
0 + W = 0 + -1
W = 0 + -1

Combine like terms: 0 + -1 = -1
W = -1

Simplifying
W = -1
Solution
W = {-12, -1}