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Simplifying -3s3 + -10s2 = 8s Reorder the terms: -10s2 + -3s3 = 8s Solving -10s2 + -3s3 = 8s Solving for variable 's'. Reorder the terms: -8s + -10s2 + -3s3 = 8s + -8s Combine like terms: 8s + -8s = 0 -8s + -10s2 + -3s3 = 0 Factor out the Greatest Common Factor (GCF), '-1s'. -1s(8 + 10s + 3s2) = 0 Factor a trinomial. -1s((2 + s)(4 + 3s)) = 0 Ignore the factor -1.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 '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Subproblem 3
Set the factor '(4 + 3s)' equal to zero and attempt to solve: Simplifying 4 + 3s = 0 Solving 4 + 3s = 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 + 3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3s = 0 + -4 3s = 0 + -4 Combine like terms: 0 + -4 = -4 3s = -4 Divide each side by '3'. s = -1.333333333 Simplifying s = -1.333333333Solution
s = {0, -2, -1.333333333}
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