36r+30r^2-66=

Solution for 36r+30r^2-66= equation:

Simplifying
36r + 30r2 + -66 = 0

Reorder the terms:
-66 + 36r + 30r2 = 0

Solving
-66 + 36r + 30r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-11 + 6r + 5r2) = 0

Factor a trinomial.
6((-11 + -5r)(1 + -1r)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-11 + -5r)' equal to zero and attempt to solve:

Simplifying
-11 + -5r = 0

Solving
-11 + -5r = 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 + -5r = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -5r = 0 + 11
-5r = 0 + 11

Combine like terms: 0 + 11 = 11
-5r = 11

Divide each side by '-5'.
r = -2.2

Simplifying
r = -2.2
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 = {-2.2, 1}