=2s^2-11s-21

Solution for =2s^2-11s-21 equation:

Simplifying
0 = 2s2 + -11s + -21

Reorder the terms:
0 = -21 + -11s + 2s2

Solving
0 = -21 + -11s + 2s2

Solving for variable 's'.

Combine like terms: 0 + 21 = 21
21 + 11s + -2s2 = -21 + -11s + 2s2 + 21 + 11s + -2s2

Reorder the terms:
21 + 11s + -2s2 = -21 + 21 + -11s + 11s + 2s2 + -2s2

Combine like terms: -21 + 21 = 0
21 + 11s + -2s2 = 0 + -11s + 11s + 2s2 + -2s2
21 + 11s + -2s2 = -11s + 11s + 2s2 + -2s2

Combine like terms: -11s + 11s = 0
21 + 11s + -2s2 = 0 + 2s2 + -2s2
21 + 11s + -2s2 = 2s2 + -2s2

Combine like terms: 2s2 + -2s2 = 0
21 + 11s + -2s2 = 0

Factor a trinomial.
(7 + -1s)(3 + 2s) = 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 '(3 + 2s)' equal to zero and attempt to solve:

Simplifying
3 + 2s = 0

Solving
3 + 2s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2s = 0 + -3
2s = 0 + -3

Combine like terms: 0 + -3 = -3
2s = -3

Divide each side by '2'.
s = -1.5

Simplifying
s = -1.5
Solution
s = {7, -1.5}