48r^2-84r+36=

Solution for 48r^2-84r+36= equation:

Simplifying
48r2 + -84r + 36 = 0

Reorder the terms:
36 + -84r + 48r2 = 0

Solving
36 + -84r + 48r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '12'.
12(3 + -7r + 4r2) = 0

Factor a trinomial.
12((3 + -4r)(1 + -1r)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(3 + -4r)' equal to zero and attempt to solve:

Simplifying
3 + -4r = 0

Solving
3 + -4r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4r = 0 + -3
-4r = 0 + -3

Combine like terms: 0 + -3 = -3
-4r = -3

Divide each side by '-4'.
r = 0.75

Simplifying
r = 0.75
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 = {0.75, 1}