14s^2-33sr+18r^2=

Solution for 14s^2-33sr+18r^2= equation:

Simplifying
14s2 + -33sr + 18r2 = 0

Reorder the terms:
-33rs + 18r2 + 14s2 = 0

Solving
-33rs + 18r2 + 14s2 = 0

Solving for variable 'r'.

Factor a trinomial.
(6r + -7s)(3r + -2s) = 0

Subproblem 1
Set the factor '(6r + -7s)' equal to zero and attempt to solve:

Simplifying
6r + -7s = 0

Solving
6r + -7s = 0

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

Add '7s' to each side of the equation.
6r + -7s + 7s = 0 + 7s

Combine like terms: -7s + 7s = 0
6r + 0 = 0 + 7s
6r = 0 + 7s
Remove the zero:
6r = 7s

Divide each side by '6'.
r = 1.166666667s

Simplifying
r = 1.166666667s
Subproblem 2
Set the factor '(3r + -2s)' equal to zero and attempt to solve:

Simplifying
3r + -2s = 0

Solving
3r + -2s = 0

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

Add '2s' to each side of the equation.
3r + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
3r + 0 = 0 + 2s
3r = 0 + 2s
Remove the zero:
3r = 2s

Divide each side by '3'.
r = 0.6666666667s

Simplifying
r = 0.6666666667s
Solution
r = {1.166666667s, 0.6666666667s}