r^2+27r=0

Solution for r^2+27r=0 equation:

Simplifying
r2 + 27r = 0

Reorder the terms:
27r + r2 = 0

Solving
27r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(27 + 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 '(27 + r)' equal to zero and attempt to solve:

Simplifying
27 + r = 0

Solving
27 + r = 0

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

Add '-27' to each side of the equation.
27 + -27 + r = 0 + -27

Combine like terms: 27 + -27 = 0
0 + r = 0 + -27
r = 0 + -27

Combine like terms: 0 + -27 = -27
r = -27

Simplifying
r = -27
Solution
r = {0, -27}