r^2=-12r

Solution for r^2=-12r equation:

Simplifying
r2 = -12r

Solving
r2 = -12r

Solving for variable 'r'.

Reorder the terms:
12r + r2 = -12r + 12r

Combine like terms: -12r + 12r = 0
12r + r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(12 + r) = 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 '(12 + r)' equal to zero and attempt to solve:

Simplifying
12 + r = 0

Solving
12 + r = 0

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

Add '-12' to each side of the equation.
12 + -12 + r = 0 + -12

Combine like terms: 12 + -12 = 0
0 + r = 0 + -12
r = 0 + -12

Combine like terms: 0 + -12 = -12
r = -12

Simplifying
r = -12
Solution
r = {0, -12}