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Simplifying 32s5 + -76s4 + -33s3 = 0 Reorder the terms: -33s3 + -76s4 + 32s5 = 0 Solving -33s3 + -76s4 + 32s5 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's3'. s3(-33 + -76s + 32s2) = 0 Factor a trinomial. s3((-3 + -8s)(11 + -4s)) = 0Subproblem 1
Set the factor 's3' equal to zero and attempt to solve: Simplifying s3 = 0 Solving s3 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + -8s)' equal to zero and attempt to solve: Simplifying -3 + -8s = 0 Solving -3 + -8s = 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 + -8s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8s = 0 + 3 -8s = 0 + 3 Combine like terms: 0 + 3 = 3 -8s = 3 Divide each side by '-8'. s = -0.375 Simplifying s = -0.375Subproblem 3
Set the factor '(11 + -4s)' equal to zero and attempt to solve: Simplifying 11 + -4s = 0 Solving 11 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4s = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4s = 0 + -11 -4s = 0 + -11 Combine like terms: 0 + -11 = -11 -4s = -11 Divide each side by '-4'. s = 2.75 Simplifying s = 2.75Solution
s = {-0.375, 2.75}
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