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Simplifying 6s2 = 13s + 28 Reorder the terms: 6s2 = 28 + 13s Solving 6s2 = 28 + 13s Solving for variable 's'. Reorder the terms: -28 + -13s + 6s2 = 28 + 13s + -28 + -13s Reorder the terms: -28 + -13s + 6s2 = 28 + -28 + 13s + -13s Combine like terms: 28 + -28 = 0 -28 + -13s + 6s2 = 0 + 13s + -13s -28 + -13s + 6s2 = 13s + -13s Combine like terms: 13s + -13s = 0 -28 + -13s + 6s2 = 0 Factor a trinomial. (-4 + -3s)(7 + -2s) = 0Subproblem 1
Set the factor '(-4 + -3s)' equal to zero and attempt to solve: Simplifying -4 + -3s = 0 Solving -4 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3s = 0 + 4 -3s = 0 + 4 Combine like terms: 0 + 4 = 4 -3s = 4 Divide each side by '-3'. s = -1.333333333 Simplifying s = -1.333333333Subproblem 2
Set the factor '(7 + -2s)' equal to zero and attempt to solve: Simplifying 7 + -2s = 0 Solving 7 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2s = 0 + -7 -2s = 0 + -7 Combine like terms: 0 + -7 = -7 -2s = -7 Divide each side by '-2'. s = 3.5 Simplifying s = 3.5Solution
s = {-1.333333333, 3.5}
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