5r^2=30r

Solution for 5r^2=30r equation:

Simplifying
5r2 = 30r

Solving
5r2 = 30r

Solving for variable 'r'.

Reorder the terms:
-30r + 5r2 = 30r + -30r

Combine like terms: 30r + -30r = 0
-30r + 5r2 = 0

Factor out the Greatest Common Factor (GCF), '5r'.
5r(-6 + r) = 0

Ignore the factor 5.
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 '(-6 + r)' equal to zero and attempt to solve:

Simplifying
-6 + r = 0

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

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

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

Simplifying
r = 6
Solution
r = {0, 6}