o^2+24o+144=0

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

Simplifying
o2 + 24o + 144 = 0

Reorder the terms:
144 + 24o + o2 = 0

Solving
144 + 24o + o2 = 0

Solving for variable 'o'.

Factor a trinomial.
(12 + o)(12 + o) = 0

Subproblem 1
Set the factor '(12 + o)' equal to zero and attempt to solve:

Simplifying
12 + o = 0

Solving
12 + o = 0

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

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

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

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

Simplifying
o = -12
Subproblem 2
Set the factor '(12 + o)' equal to zero and attempt to solve:

Simplifying
12 + o = 0

Solving
12 + o = 0

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

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

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

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

Simplifying
o = -12
Solution
o = {-12, -12}