s^2+3s-28=

Solution for s^2+3s-28= equation:

Simplifying
s2 + 3s + -28 = 0

Reorder the terms:
-28 + 3s + s2 = 0

Solving
-28 + 3s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -1s)(4 + -1s) = 0

Subproblem 1
Set the factor '(-7 + -1s)' equal to zero and attempt to solve:

Simplifying
-7 + -1s = 0

Solving
-7 + -1s = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1s = 0 + 7
-1s = 0 + 7

Combine like terms: 0 + 7 = 7
-1s = 7

Divide each side by '-1'.
s = -7

Simplifying
s = -7
Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

Solving
4 + -1s = 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 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Solution
s = {-7, 4}