r^2+18r-19=0

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

Simplifying
r2 + 18r + -19 = 0

Reorder the terms:
-19 + 18r + r2 = 0

Solving
-19 + 18r + r2 = 0

Solving for variable 'r'.

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

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

Simplifying
-19 + -1r = 0

Solving
-19 + -1r = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1r = 0 + 19

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

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

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

Simplifying
r = -19
Subproblem 2
Set the factor '(1 + -1r)' equal to zero and attempt to solve:

Simplifying
1 + -1r = 0

Solving
1 + -1r = 0

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

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

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

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

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

Simplifying
r = 1
Solution
r = {-19, 1}