u^2+19u-216=0

Solution for u^2+19u-216=0 equation:

Simplifying
u2 + 19u + -216 = 0

Reorder the terms:
-216 + 19u + u2 = 0

Solving
-216 + 19u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-27 + -1u)(8 + -1u) = 0

Subproblem 1
Set the factor '(-27 + -1u)' equal to zero and attempt to solve:

Simplifying
-27 + -1u = 0

Solving
-27 + -1u = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1u = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1u = 0 + 27
-1u = 0 + 27

Combine like terms: 0 + 27 = 27
-1u = 27

Divide each side by '-1'.
u = -27

Simplifying
u = -27
Subproblem 2
Set the factor '(8 + -1u)' equal to zero and attempt to solve:

Simplifying
8 + -1u = 0

Solving
8 + -1u = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1u = 0 + -8
-1u = 0 + -8

Combine like terms: 0 + -8 = -8
-1u = -8

Divide each side by '-1'.
u = 8

Simplifying
u = 8
Solution
u = {-27, 8}