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Simplifying -2 = -9s2 + 3s Reorder the terms: -2 = 3s + -9s2 Solving -2 = 3s + -9s2 Solving for variable 's'. Reorder the terms: -2 + -3s + 9s2 = 3s + -3s + -9s2 + 9s2 Combine like terms: 3s + -3s = 0 -2 + -3s + 9s2 = 0 + -9s2 + 9s2 -2 + -3s + 9s2 = -9s2 + 9s2 Combine like terms: -9s2 + 9s2 = 0 -2 + -3s + 9s2 = 0 Factor a trinomial. (-1 + -3s)(2 + -3s) = 0Subproblem 1
Set the factor '(-1 + -3s)' equal to zero and attempt to solve: Simplifying -1 + -3s = 0 Solving -1 + -3s = 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 + -3s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3s = 0 + 1 -3s = 0 + 1 Combine like terms: 0 + 1 = 1 -3s = 1 Divide each side by '-3'. s = -0.3333333333 Simplifying s = -0.3333333333Subproblem 2
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 = 0.6666666667Solution
s = {-0.3333333333, 0.6666666667}
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