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Simplifying (6s2) + s = 2 Reorder the terms: s + (6s2) = 2 Solving s + (6s2) = 2 Solving for variable 's'. Reorder the terms: -2 + s + (6s2) = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + s + (6s2) = 0 Factor a trinomial. (-2 + -3s)(1 + -2s) = 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 '(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 = {-0.6666666667, 0.5}
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