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Simplifying -3s2 + 12s + 63 = 0 Reorder the terms: 63 + 12s + -3s2 = 0 Solving 63 + 12s + -3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + 4s + -1s2) = 0 Factor a trinomial. 3((7 + -1s)(3 + s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 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 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Subproblem 2
Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 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 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Solution
s = {7, -3}
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