12r^2-62r-60=0

Solution for 12r^2-62r-60=0 equation:

Simplifying
12r2 + -62r + -60 = 0

Reorder the terms:
-60 + -62r + 12r2 = 0

Solving
-60 + -62r + 12r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + -31r + 6r2) = 0

Factor a trinomial.
2((-5 + -6r)(6 + -1r)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -6r)' equal to zero and attempt to solve:

Simplifying
-5 + -6r = 0

Solving
-5 + -6r = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6r = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6r = 0 + 5
-6r = 0 + 5

Combine like terms: 0 + 5 = 5
-6r = 5

Divide each side by '-6'.
r = -0.8333333333

Simplifying
r = -0.8333333333
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 = {-0.8333333333, 6}