s^2+25s+84=

Solution for s^2+25s+84= equation:

Simplifying
s2 + 25s + 84 = 0

Reorder the terms:
84 + 25s + s2 = 0

Solving
84 + 25s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(21 + s)(4 + s) = 0

Subproblem 1
Set the factor '(21 + s)' equal to zero and attempt to solve:

Simplifying
21 + s = 0

Solving
21 + s = 0

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

Add '-21' to each side of the equation.
21 + -21 + s = 0 + -21

Combine like terms: 21 + -21 = 0
0 + s = 0 + -21
s = 0 + -21

Combine like terms: 0 + -21 = -21
s = -21

Simplifying
s = -21
Subproblem 2
Set the factor '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
Solution
s = {-21, -4}