0=s^2+9s-2142

Solution for 0=s^2+9s-2142 equation:

Simplifying
0 = s2 + 9s + -2142

Reorder the terms:
0 = -2142 + 9s + s2

Solving
0 = -2142 + 9s + s2

Solving for variable 's'.

Combine like terms: 0 + 2142 = 2142
2142 + -9s + -1s2 = -2142 + 9s + s2 + 2142 + -9s + -1s2

Reorder the terms:
2142 + -9s + -1s2 = -2142 + 2142 + 9s + -9s + s2 + -1s2

Combine like terms: -2142 + 2142 = 0
2142 + -9s + -1s2 = 0 + 9s + -9s + s2 + -1s2
2142 + -9s + -1s2 = 9s + -9s + s2 + -1s2

Combine like terms: 9s + -9s = 0
2142 + -9s + -1s2 = 0 + s2 + -1s2
2142 + -9s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
2142 + -9s + -1s2 = 0

Factor a trinomial.
(42 + -1s)(51 + s) = 0

Subproblem 1
Set the factor '(42 + -1s)' equal to zero and attempt to solve:

Simplifying
42 + -1s = 0

Solving
42 + -1s = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1s = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1s = 0 + -42
-1s = 0 + -42

Combine like terms: 0 + -42 = -42
-1s = -42

Divide each side by '-1'.
s = 42

Simplifying
s = 42
Subproblem 2
Set the factor '(51 + s)' equal to zero and attempt to solve:

Simplifying
51 + s = 0

Solving
51 + s = 0

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

Add '-51' to each side of the equation.
51 + -51 + s = 0 + -51

Combine like terms: 51 + -51 = 0
0 + s = 0 + -51
s = 0 + -51

Combine like terms: 0 + -51 = -51
s = -51

Simplifying
s = -51
Solution
s = {42, -51}