1r^2-12r-133=0

Solution for 1r^2-12r-133=0 equation:

Simplifying
1r2 + -12r + -133 = 0

Reorder the terms:
-133 + -12r + 1r2 = 0

Solving
-133 + -12r + 1r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-7 + -1r)(19 + -1r) = 0

Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve:

Simplifying
-7 + -1r = 0

Solving
-7 + -1r = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1r = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = 0 + 7
-1r = 0 + 7

Combine like terms: 0 + 7 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7
Subproblem 2
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
Solution
r = {-7, 19}