s^2=-18-11s

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Solution for s^2=-18-11s equation:


Simplifying
s2 = -18 + -11s

Solving
s2 = -18 + -11s

Solving for variable 's'.

Reorder the terms:
18 + 11s + s2 = -18 + -11s + 18 + 11s

Reorder the terms:
18 + 11s + s2 = -18 + 18 + -11s + 11s

Combine like terms: -18 + 18 = 0
18 + 11s + s2 = 0 + -11s + 11s
18 + 11s + s2 = -11s + 11s

Combine like terms: -11s + 11s = 0
18 + 11s + s2 = 0

Factor a trinomial.
(9 + s)(2 + s) = 0

Subproblem 1

Set the factor '(9 + s)' equal to zero and attempt to solve: Simplifying 9 + s = 0 Solving 9 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + s = 0 + -9 s = 0 + -9 Combine like terms: 0 + -9 = -9 s = -9 Simplifying s = -9

Subproblem 2

Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2

Solution

s = {-9, -2}

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