36r^2-25r+4=0

Solution for 36r^2-25r+4=0 equation:

Simplifying
36r2 + -25r + 4 = 0

Reorder the terms:
4 + -25r + 36r2 = 0

Solving
4 + -25r + 36r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(1 + -4r)(4 + -9r) = 0

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

Simplifying
1 + -4r = 0

Solving
1 + -4r = 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 + -4r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4r = 0 + -1
-4r = 0 + -1

Combine like terms: 0 + -1 = -1
-4r = -1

Divide each side by '-4'.
r = 0.25

Simplifying
r = 0.25
Subproblem 2
Set the factor '(4 + -9r)' equal to zero and attempt to solve:

Simplifying
4 + -9r = 0

Solving
4 + -9r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9r = 0 + -4
-9r = 0 + -4

Combine like terms: 0 + -4 = -4
-9r = -4

Divide each side by '-9'.
r = 0.4444444444

Simplifying
r = 0.4444444444
Solution
r = {0.25, 0.4444444444}