6r^2-11rp+5p^2=0

Solution for 6r^2-11rp+5p^2=0 equation:

Simplifying
6r2 + -11rp + 5p2 = 0

Reorder the terms:
-11pr + 5p2 + 6r2 = 0

Solving
-11pr + 5p2 + 6r2 = 0

Solving for variable 'p'.

Factor a trinomial.
(5p + -6r)(p + -1r) = 0

Subproblem 1
Set the factor '(5p + -6r)' equal to zero and attempt to solve:

Simplifying
5p + -6r = 0

Solving
5p + -6r = 0

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

Add '6r' to each side of the equation.
5p + -6r + 6r = 0 + 6r

Combine like terms: -6r + 6r = 0
5p + 0 = 0 + 6r
5p = 0 + 6r
Remove the zero:
5p = 6r

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

Simplifying
p = 1.2r
Subproblem 2
Set the factor '(p + -1r)' equal to zero and attempt to solve:

Simplifying
p + -1r = 0

Solving
p + -1r = 0

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

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

Combine like terms: -1r + r = 0
p + 0 = 0 + r
p = 0 + r
Remove the zero:
p = r

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