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Simplifying 11S2 + S + -10 = 0 Reorder the terms: -10 + S + 11S2 = 0 Solving -10 + S + 11S2 = 0 Solving for variable 'S'. Factor a trinomial. (-1 + -1S)(10 + -11S) = 0Subproblem 1
Set the factor '(-1 + -1S)' equal to zero and attempt to solve: Simplifying -1 + -1S = 0 Solving -1 + -1S = 0 Move all terms containing S to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1S = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1S = 0 + 1 -1S = 0 + 1 Combine like terms: 0 + 1 = 1 -1S = 1 Divide each side by '-1'. S = -1 Simplifying S = -1Subproblem 2
Set the factor '(10 + -11S)' equal to zero and attempt to solve: Simplifying 10 + -11S = 0 Solving 10 + -11S = 0 Move all terms containing S to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11S = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11S = 0 + -10 -11S = 0 + -10 Combine like terms: 0 + -10 = -10 -11S = -10 Divide each side by '-11'. S = 0.9090909091 Simplifying S = 0.9090909091Solution
S = {-1, 0.9090909091}
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