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Simplifying -3s2 + 6s = 3 Reorder the terms: 6s + -3s2 = 3 Solving 6s + -3s2 = 3 Solving for variable 's'. Reorder the terms: -3 + 6s + -3s2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 6s + -3s2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 2s + -1s2) = 0 Factor a trinomial. 3((-1 + s)(1 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + s)' equal to zero and attempt to solve: Simplifying -1 + s = 0 Solving -1 + s = 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 + s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + s = 0 + 1 s = 0 + 1 Combine like terms: 0 + 1 = 1 s = 1 Simplifying s = 1Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 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 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Solution
s = {1, 1}
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