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Simplifying 9s2 + -27s2 + 8s = -12s Reorder the terms: 8s + 9s2 + -27s2 = -12s Combine like terms: 9s2 + -27s2 = -18s2 8s + -18s2 = -12s Solving 8s + -18s2 = -12s Solving for variable 's'. Reorder the terms: 8s + 12s + -18s2 = -12s + 12s Combine like terms: 8s + 12s = 20s 20s + -18s2 = -12s + 12s Combine like terms: -12s + 12s = 0 20s + -18s2 = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(10 + -9s) = 0 Ignore the factor 2.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(10 + -9s)' equal to zero and attempt to solve: Simplifying 10 + -9s = 0 Solving 10 + -9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9s = 0 + -10 -9s = 0 + -10 Combine like terms: 0 + -10 = -10 -9s = -10 Divide each side by '-9'. s = 1.111111111 Simplifying s = 1.111111111Solution
s = {0, 1.111111111}
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