u^2+20u=-19

Solution for u^2+20u=-19 equation:

Simplifying
u2 + 20u = -19

Reorder the terms:
20u + u2 = -19

Solving
20u + u2 = -19

Solving for variable 'u'.

Reorder the terms:
19 + 20u + u2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + 20u + u2 = 0

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

Subproblem 1
Set the factor '(19 + u)' equal to zero and attempt to solve:

Simplifying
19 + u = 0

Solving
19 + u = 0

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

Add '-19' to each side of the equation.
19 + -19 + u = 0 + -19

Combine like terms: 19 + -19 = 0
0 + u = 0 + -19
u = 0 + -19

Combine like terms: 0 + -19 = -19
u = -19

Simplifying
u = -19
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 = {-19, -1}