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Simplifying 3s2 + -13s = -10 Reorder the terms: -13s + 3s2 = -10 Solving -13s + 3s2 = -10 Solving for variable 's'. Reorder the terms: 10 + -13s + 3s2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -13s + 3s2 = 0 Factor a trinomial. (1 + -1s)(10 + -3s) = 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 + -3s)' equal to zero and attempt to solve: Simplifying 10 + -3s = 0 Solving 10 + -3s = 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 + -3s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3s = 0 + -10 -3s = 0 + -10 Combine like terms: 0 + -10 = -10 -3s = -10 Divide each side by '-3'. s = 3.333333333 Simplifying s = 3.333333333Solution
s = {1, 3.333333333}
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