u^2+18u-19=0

Solution for u^2+18u-19=0 equation:

Simplifying
u2 + 18u + -19 = 0

Reorder the terms:
-19 + 18u + u2 = 0

Solving
-19 + 18u + u2 = 0

Solving for variable 'u'.

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

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

Simplifying
-19 + -1u = 0

Solving
-19 + -1u = 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 + -1u = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1u = 0 + 19
-1u = 0 + 19

Combine like terms: 0 + 19 = 19
-1u = 19

Divide each side by '-1'.
u = -19

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