14s^2+66=-89s

Solution for 14s^2+66=-89s equation:

Simplifying
14s2 + 66 = -89s

Reorder the terms:
66 + 14s2 = -89s

Solving
66 + 14s2 = -89s

Solving for variable 's'.

Reorder the terms:
66 + 89s + 14s2 = -89s + 89s

Combine like terms: -89s + 89s = 0
66 + 89s + 14s2 = 0

Factor a trinomial.
(11 + 2s)(6 + 7s) = 0

Subproblem 1
Set the factor '(11 + 2s)' equal to zero and attempt to solve:

Simplifying
11 + 2s = 0

Solving
11 + 2s = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2s = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2s = 0 + -11
2s = 0 + -11

Combine like terms: 0 + -11 = -11
2s = -11

Divide each side by '2'.
s = -5.5

Simplifying
s = -5.5
Subproblem 2
Set the factor '(6 + 7s)' equal to zero and attempt to solve:

Simplifying
6 + 7s = 0

Solving
6 + 7s = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7s = 0 + -6
7s = 0 + -6

Combine like terms: 0 + -6 = -6
7s = -6

Divide each side by '7'.
s = -0.8571428571

Simplifying
s = -0.8571428571
Solution
s = {-5.5, -0.8571428571}