-s^2=121-22s

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Solution for -s^2=121-22s equation:


Simplifying
-1s2 = 121 + -22s

Solving
-1s2 = 121 + -22s

Solving for variable 's'.

Reorder the terms:
-121 + 22s + -1s2 = 121 + -22s + -121 + 22s

Reorder the terms:
-121 + 22s + -1s2 = 121 + -121 + -22s + 22s

Combine like terms: 121 + -121 = 0
-121 + 22s + -1s2 = 0 + -22s + 22s
-121 + 22s + -1s2 = -22s + 22s

Combine like terms: -22s + 22s = 0
-121 + 22s + -1s2 = 0

Factor a trinomial.
(-11 + s)(11 + -1s) = 0

Subproblem 1

Set the factor '(-11 + s)' equal to zero and attempt to solve: Simplifying -11 + s = 0 Solving -11 + s = 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 + s = 0 + 11 Combine like terms: -11 + 11 = 0 0 + s = 0 + 11 s = 0 + 11 Combine like terms: 0 + 11 = 11 s = 11 Simplifying s = 11

Subproblem 2

Set the factor '(11 + -1s)' equal to zero and attempt to solve: Simplifying 11 + -1s = 0 Solving 11 + -1s = 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 + -1s = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1s = 0 + -11 -1s = 0 + -11 Combine like terms: 0 + -11 = -11 -1s = -11 Divide each side by '-1'. s = 11 Simplifying s = 11

Solution

s = {11, 11}

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