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Simplifying 0 = 6s2 + -11s + 4 Reorder the terms: 0 = 4 + -11s + 6s2 Solving 0 = 4 + -11s + 6s2 Solving for variable 's'. Combine like terms: 0 + -4 = -4 -4 + 11s + -6s2 = 4 + -11s + 6s2 + -4 + 11s + -6s2 Reorder the terms: -4 + 11s + -6s2 = 4 + -4 + -11s + 11s + 6s2 + -6s2 Combine like terms: 4 + -4 = 0 -4 + 11s + -6s2 = 0 + -11s + 11s + 6s2 + -6s2 -4 + 11s + -6s2 = -11s + 11s + 6s2 + -6s2 Combine like terms: -11s + 11s = 0 -4 + 11s + -6s2 = 0 + 6s2 + -6s2 -4 + 11s + -6s2 = 6s2 + -6s2 Combine like terms: 6s2 + -6s2 = 0 -4 + 11s + -6s2 = 0 Factor a trinomial. (-4 + 3s)(1 + -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 '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 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 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Divide each side by '-2'. s = 0.5 Simplifying s = 0.5Solution
s = {1.333333333, 0.5}
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