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Simplifying 18s2 + -21s + 12s + -14 = 0 Reorder the terms: -14 + -21s + 12s + 18s2 = 0 Combine like terms: -21s + 12s = -9s -14 + -9s + 18s2 = 0 Solving -14 + -9s + 18s2 = 0 Solving for variable 's'. Factor a trinomial. (-2 + -3s)(7 + -6s) = 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 '(7 + -6s)' equal to zero and attempt to solve: Simplifying 7 + -6s = 0 Solving 7 + -6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6s = 0 + -7 -6s = 0 + -7 Combine like terms: 0 + -7 = -7 -6s = -7 Divide each side by '-6'. s = 1.166666667 Simplifying s = 1.166666667Solution
s = {-0.6666666667, 1.166666667}
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