3r^2=10r

Solution for 3r^2=10r equation:

Simplifying
3r2 = 10r

Solving
3r2 = 10r

Solving for variable 'r'.

Reorder the terms:
-10r + 3r2 = 10r + -10r

Combine like terms: 10r + -10r = 0
-10r + 3r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-10 + 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 '(-10 + 3r)' equal to zero and attempt to solve:

Simplifying
-10 + 3r = 0

Solving
-10 + 3r = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3r = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3r = 0 + 10
3r = 0 + 10

Combine like terms: 0 + 10 = 10
3r = 10

Divide each side by '3'.
r = 3.333333333

Simplifying
r = 3.333333333
Solution
r = {0, 3.333333333}