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Simplifying 15s2 + -24s = 63 Reorder the terms: -24s + 15s2 = 63 Solving -24s + 15s2 = 63 Solving for variable 's'. Reorder the terms: -63 + -24s + 15s2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + -24s + 15s2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-21 + -8s + 5s2) = 0 Factor a trinomial. 3((-7 + -5s)(3 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -5s)' equal to zero and attempt to solve: Simplifying -7 + -5s = 0 Solving -7 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5s = 0 + 7 -5s = 0 + 7 Combine like terms: 0 + 7 = 7 -5s = 7 Divide each side by '-5'. s = -1.4 Simplifying s = -1.4Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-1.4, 3}
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