3r^2=5r

Solution for 3r^2=5r equation:

Simplifying
3r2 = 5r

Solving
3r2 = 5r

Solving for variable 'r'.

Reorder the terms:
-5r + 3r2 = 5r + -5r

Combine like terms: 5r + -5r = 0
-5r + 3r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-5 + 3r) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-5 + 3r)' equal to zero and attempt to solve:

Simplifying
-5 + 3r = 0

Solving
-5 + 3r = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3r = 0 + 5

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

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

Divide each side by '3'.
r = 1.666666667

Simplifying
r = 1.666666667
Solution
r = {0, 1.666666667}