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Simplifying S2 + -3S = 10 Reorder the terms: -3S + S2 = 10 Solving -3S + S2 = 10 Solving for variable 'S'. Reorder the terms: -10 + -3S + S2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -3S + S2 = 0 Factor a trinomial. (-2 + -1S)(5 + -1S) = 0Subproblem 1
Set the factor '(-2 + -1S)' equal to zero and attempt to solve: Simplifying -2 + -1S = 0 Solving -2 + -1S = 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 + -1S = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1S = 0 + 2 -1S = 0 + 2 Combine like terms: 0 + 2 = 2 -1S = 2 Divide each side by '-1'. S = -2 Simplifying S = -2Subproblem 2
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 = 5Solution
S = {-2, 5}
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