6r^2+96=60r

Solution for 6r^2+96=60r equation:

Simplifying
6r2 + 96 = 60r

Reorder the terms:
96 + 6r2 = 60r

Solving
96 + 6r2 = 60r

Solving for variable 'r'.

Reorder the terms:
96 + -60r + 6r2 = 60r + -60r

Combine like terms: 60r + -60r = 0
96 + -60r + 6r2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(16 + -10r + r2) = 0

Factor a trinomial.
6((2 + -1r)(8 + -1r)) = 0

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

Simplifying
2 + -1r = 0

Solving
2 + -1r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {2, 8}