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Simplifying 15s2 = 48 + 48s Solving 15s2 = 48 + 48s Solving for variable 's'. Reorder the terms: -48 + -48s + 15s2 = 48 + 48s + -48 + -48s Reorder the terms: -48 + -48s + 15s2 = 48 + -48 + 48s + -48s Combine like terms: 48 + -48 = 0 -48 + -48s + 15s2 = 0 + 48s + -48s -48 + -48s + 15s2 = 48s + -48s Combine like terms: 48s + -48s = 0 -48 + -48s + 15s2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + -16s + 5s2) = 0 Factor a trinomial. 3((-4 + -5s)(4 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -5s)' equal to zero and attempt to solve: Simplifying -4 + -5s = 0 Solving -4 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5s = 0 + 4 -5s = 0 + 4 Combine like terms: 0 + 4 = 4 -5s = 4 Divide each side by '-5'. s = -0.8 Simplifying s = -0.8Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Solution
s = {-0.8, 4}
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