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Simplifying s2 + -6s = 55 Reorder the terms: -6s + s2 = 55 Solving -6s + s2 = 55 Solving for variable 's'. Reorder the terms: -55 + -6s + s2 = 55 + -55 Combine like terms: 55 + -55 = 0 -55 + -6s + s2 = 0 Factor a trinomial. (-5 + -1s)(11 + -1s) = 0Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 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 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5Subproblem 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 = 11Solution
s = {-5, 11}
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