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Simplifying 2s3 + 10s2 + -48s = 0 Reorder the terms: -48s + 10s2 + 2s3 = 0 Solving -48s + 10s2 + 2s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(-24 + 5s + s2) = 0 Factor a trinomial. 2s((-8 + -1s)(3 + -1s)) = 0 Ignore the factor 2.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 '(-8 + -1s)' equal to zero and attempt to solve: Simplifying -8 + -1s = 0 Solving -8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1s = 0 + 8 -1s = 0 + 8 Combine like terms: 0 + 8 = 8 -1s = 8 Divide each side by '-1'. s = -8 Simplifying s = -8Subproblem 3
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 = {0, -8, 3}
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