R^2+5R-66=0

Solution for R^2+5R-66=0 equation:

Simplifying
R2 + 5R + -66 = 0

Reorder the terms:
-66 + 5R + R2 = 0

Solving
-66 + 5R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(-11 + -1R)(6 + -1R) = 0

Subproblem 1
Set the factor '(-11 + -1R)' equal to zero and attempt to solve:

Simplifying
-11 + -1R = 0

Solving
-11 + -1R = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1R = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1R = 0 + 11
-1R = 0 + 11

Combine like terms: 0 + 11 = 11
-1R = 11

Divide each side by '-1'.
R = -11

Simplifying
R = -11
Subproblem 2
Set the factor '(6 + -1R)' equal to zero and attempt to solve:

Simplifying
6 + -1R = 0

Solving
6 + -1R = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1R = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1R = 0 + -6
-1R = 0 + -6

Combine like terms: 0 + -6 = -6
-1R = -6

Divide each side by '-1'.
R = 6

Simplifying
R = 6
Solution
R = {-11, 6}