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Simplifying 4s3 + 4s2 + -15s = 0 Reorder the terms: -15s + 4s2 + 4s3 = 0 Solving -15s + 4s2 + 4s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-15 + 4s + 4s2) = 0 Factor a trinomial. s((-5 + -2s)(3 + -2s)) = 0Subproblem 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 + -2s)' equal to zero and attempt to solve: Simplifying -5 + -2s = 0 Solving -5 + -2s = 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 + -2s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2s = 0 + 5 -2s = 0 + 5 Combine like terms: 0 + 5 = 5 -2s = 5 Divide each side by '-2'. s = -2.5 Simplifying s = -2.5Subproblem 3
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, -2.5, 1.5}
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