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Simplifying 12s2 + -15s = 3s Reorder the terms: -15s + 12s2 = 3s Solving -15s + 12s2 = 3s Solving for variable 's'. Reorder the terms: -15s + -3s + 12s2 = 3s + -3s Combine like terms: -15s + -3s = -18s -18s + 12s2 = 3s + -3s Combine like terms: 3s + -3s = 0 -18s + 12s2 = 0 Factor out the Greatest Common Factor (GCF), '6s'. 6s(-3 + 2s) = 0 Ignore the factor 6.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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