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Simplifying 6s2 + 9s = 0 Reorder the terms: 9s + 6s2 = 0 Solving 9s + 6s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s'. 3s(3 + 2s) = 0 Ignore the factor 3.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 '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 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 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Divide each side by '2'. s = -1.5 Simplifying s = -1.5Solution
s = {0, -1.5}
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