r^2+40r=0

Solution for r^2+40r=0 equation:

Simplifying
r2 + 40r = 0

Reorder the terms:
40r + r2 = 0

Solving
40r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(40 + 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 '(40 + r)' equal to zero and attempt to solve:

Simplifying
40 + r = 0

Solving
40 + r = 0

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

Add '-40' to each side of the equation.
40 + -40 + r = 0 + -40

Combine like terms: 40 + -40 = 0
0 + r = 0 + -40
r = 0 + -40

Combine like terms: 0 + -40 = -40
r = -40

Simplifying
r = -40
Solution
r = {0, -40}