25r^2+18=45r

Solution for 25r^2+18=45r equation:

Simplifying
25r2 + 18 = 45r

Reorder the terms:
18 + 25r2 = 45r

Solving
18 + 25r2 = 45r

Solving for variable 'r'.

Reorder the terms:
18 + -45r + 25r2 = 45r + -45r

Combine like terms: 45r + -45r = 0
18 + -45r + 25r2 = 0

Factor a trinomial.
(3 + -5r)(6 + -5r) = 0

Subproblem 1
Set the factor '(3 + -5r)' equal to zero and attempt to solve:

Simplifying
3 + -5r = 0

Solving
3 + -5r = 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 + -5r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5r = 0 + -3
-5r = 0 + -3

Combine like terms: 0 + -3 = -3
-5r = -3

Divide each side by '-5'.
r = 0.6

Simplifying
r = 0.6
Subproblem 2
Set the factor '(6 + -5r)' equal to zero and attempt to solve:

Simplifying
6 + -5r = 0

Solving
6 + -5r = 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 + -5r = 0 + -6

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

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

Divide each side by '-5'.
r = 1.2

Simplifying
r = 1.2
Solution
r = {0.6, 1.2}