s^2-3s-10=0

Solution for s^2-3s-10=0 equation:

Simplifying
s2 + -3s + -10 = 0

Reorder the terms:
-10 + -3s + s2 = 0

Solving
-10 + -3s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-2 + -1s)(5 + -1s) = 0

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

Simplifying
-2 + -1s = 0

Solving
-2 + -1s = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1s = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1s = 0 + 2
-1s = 0 + 2

Combine like terms: 0 + 2 = 2
-1s = 2

Divide each side by '-1'.
s = -2

Simplifying
s = -2
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-2, 5}