r^2+56r=0

Solution for r^2+56r=0 equation:

Simplifying
r2 + 56r = 0

Reorder the terms:
56r + r2 = 0

Solving
56r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(56 + 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 '(56 + r)' equal to zero and attempt to solve:

Simplifying
56 + r = 0

Solving
56 + r = 0

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

Add '-56' to each side of the equation.
56 + -56 + r = 0 + -56

Combine like terms: 56 + -56 = 0
0 + r = 0 + -56
r = 0 + -56

Combine like terms: 0 + -56 = -56
r = -56

Simplifying
r = -56
Solution
r = {0, -56}