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Simplifying 6s2 = 14s + 12 Reorder the terms: 6s2 = 12 + 14s Solving 6s2 = 12 + 14s Solving for variable 's'. Reorder the terms: -12 + -14s + 6s2 = 12 + 14s + -12 + -14s Reorder the terms: -12 + -14s + 6s2 = 12 + -12 + 14s + -14s Combine like terms: 12 + -12 = 0 -12 + -14s + 6s2 = 0 + 14s + -14s -12 + -14s + 6s2 = 14s + -14s Combine like terms: 14s + -14s = 0 -12 + -14s + 6s2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -7s + 3s2) = 0 Factor a trinomial. 2((-2 + -3s)(3 + -1s)) = 0 Ignore the factor 2.Subproblem 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 '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-0.6666666667, 3}
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