u^2+13u+12=0

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

Simplifying
u2 + 13u + 12 = 0

Reorder the terms:
12 + 13u + u2 = 0

Solving
12 + 13u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(12 + u)(1 + u) = 0

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

Simplifying
12 + u = 0

Solving
12 + u = 0

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

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

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

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

Simplifying
u = -12
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 0

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

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

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

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

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