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Simplifying s5 + -8s4 + 16s3 = 0 Reorder the terms: 16s3 + -8s4 + s5 = 0 Solving 16s3 + -8s4 + s5 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's3'. s3(16 + -8s + s2) = 0 Factor a trinomial. s3((4 + -1s)(4 + -1s)) = 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 '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 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 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Subproblem 3
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 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 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Solution
s = {4, 4}
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