s^2-19s+70=0

Solution for s^2-19s+70=0 equation:

Simplifying
s2 + -19s + 70 = 0

Reorder the terms:
70 + -19s + s2 = 0

Solving
70 + -19s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(5 + -1s)(14 + -1s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(14 + -1s)' equal to zero and attempt to solve:

Simplifying
14 + -1s = 0

Solving
14 + -1s = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1s = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1s = 0 + -14
-1s = 0 + -14

Combine like terms: 0 + -14 = -14
-1s = -14

Divide each side by '-1'.
s = 14

Simplifying
s = 14
Solution
s = {5, 14}