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Simplifying 12s2 + -16s = 4s Reorder the terms: -16s + 12s2 = 4s Solving -16s + 12s2 = 4s Solving for variable 's'. Reorder the terms: -16s + -4s + 12s2 = 4s + -4s Combine like terms: -16s + -4s = -20s -20s + 12s2 = 4s + -4s Combine like terms: 4s + -4s = 0 -20s + 12s2 = 0 Factor out the Greatest Common Factor (GCF), '4s'. 4s(-5 + 3s) = 0 Ignore the factor 4.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 '(-5 + 3s)' equal to zero and attempt to solve: Simplifying -5 + 3s = 0 Solving -5 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3s = 0 + 5 3s = 0 + 5 Combine like terms: 0 + 5 = 5 3s = 5 Divide each side by '3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {0, 1.666666667}
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