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Simplifying 3s2 = 13s + 10 Reorder the terms: 3s2 = 10 + 13s Solving 3s2 = 10 + 13s Solving for variable 's'. Reorder the terms: -10 + -13s + 3s2 = 10 + 13s + -10 + -13s Reorder the terms: -10 + -13s + 3s2 = 10 + -10 + 13s + -13s Combine like terms: 10 + -10 = 0 -10 + -13s + 3s2 = 0 + 13s + -13s -10 + -13s + 3s2 = 13s + -13s Combine like terms: 13s + -13s = 0 -10 + -13s + 3s2 = 0 Factor a trinomial. (-2 + -3s)(5 + -1s) = 0Subproblem 1
Set the factor '(-2 + -3s)' equal to zero and attempt to solve: Simplifying -2 + -3s = 0 Solving -2 + -3s = 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 + -3s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3s = 0 + 2 -3s = 0 + 2 Combine like terms: 0 + 2 = 2 -3s = 2 Divide each side by '-3'. s = -0.6666666667 Simplifying s = -0.6666666667Subproblem 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 = {-0.6666666667, 5}
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