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Simplifying 18s2 + -40s + -42 = 0 Reorder the terms: -42 + -40s + 18s2 = 0 Solving -42 + -40s + 18s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + -20s + 9s2) = 0 Factor a trinomial. 2((-7 + -9s)(3 + -1s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -9s)' equal to zero and attempt to solve: Simplifying -7 + -9s = 0 Solving -7 + -9s = 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 + -9s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9s = 0 + 7 -9s = 0 + 7 Combine like terms: 0 + 7 = 7 -9s = 7 Divide each side by '-9'. s = -0.7777777778 Simplifying s = -0.7777777778Subproblem 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 = {-0.7777777778, 3}
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