-s^2-s+20=0

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Solution for -s^2-s+20=0 equation:


Simplifying
-1s2 + -1s + 20 = 0

Reorder the terms:
20 + -1s + -1s2 = 0

Solving
20 + -1s + -1s2 = 0

Solving for variable 's'.

Factor a trinomial.
(4 + -1s)(5 + s) = 0

Subproblem 1

Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4

Subproblem 2

Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 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 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5

Solution

s = {4, -5}

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