u^2+12u-13=0

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

Simplifying
u2 + 12u + -13 = 0

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

Solving
-13 + 12u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-13 + -1u)(1 + -1u) = 0

Subproblem 1
Set the factor '(-13 + -1u)' equal to zero and attempt to solve:

Simplifying
-13 + -1u = 0

Solving
-13 + -1u = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1u = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1u = 0 + 13
-1u = 0 + 13

Combine like terms: 0 + 13 = 13
-1u = 13

Divide each side by '-1'.
u = -13

Simplifying
u = -13
Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve:

Simplifying
1 + -1u = 0

Solving
1 + -1u = 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 + -1u = 0 + -1

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

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

Divide each side by '-1'.
u = 1

Simplifying
u = 1
Solution
u = {-13, 1}