s^2+150s+5000=0

Solution for s^2+150s+5000=0 equation:

Simplifying
s2 + 150s + 5000 = 0

Reorder the terms:
5000 + 150s + s2 = 0

Solving
5000 + 150s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(100 + s)(50 + s) = 0

Subproblem 1
Set the factor '(100 + s)' equal to zero and attempt to solve:

Simplifying
100 + s = 0

Solving
100 + s = 0

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

Add '-100' to each side of the equation.
100 + -100 + s = 0 + -100

Combine like terms: 100 + -100 = 0
0 + s = 0 + -100
s = 0 + -100

Combine like terms: 0 + -100 = -100
s = -100

Simplifying
s = -100
Subproblem 2
Set the factor '(50 + s)' equal to zero and attempt to solve:

Simplifying
50 + s = 0

Solving
50 + s = 0

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

Add '-50' to each side of the equation.
50 + -50 + s = 0 + -50

Combine like terms: 50 + -50 = 0
0 + s = 0 + -50
s = 0 + -50

Combine like terms: 0 + -50 = -50
s = -50

Simplifying
s = -50
Solution
s = {-100, -50}