r^2+24r+144r=0

Solution for r^2+24r+144r=0 equation:

Simplifying
r2 + 24r + 144r = 0

Reorder the terms:
24r + 144r + r2 = 0

Combine like terms: 24r + 144r = 168r
168r + r2 = 0

Solving
168r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(168 + 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 '(168 + r)' equal to zero and attempt to solve:

Simplifying
168 + r = 0

Solving
168 + r = 0

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

Add '-168' to each side of the equation.
168 + -168 + r = 0 + -168

Combine like terms: 168 + -168 = 0
0 + r = 0 + -168
r = 0 + -168

Combine like terms: 0 + -168 = -168
r = -168

Simplifying
r = -168
Solution
r = {0, -168}