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}