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Simplifying 21s5 + -50s4 + -16s3 = 0 Reorder the terms: -16s3 + -50s4 + 21s5 = 0 Solving -16s3 + -50s4 + 21s5 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's3'. s3(-16 + -50s + 21s2) = 0 Factor a trinomial. s3((-2 + -7s)(8 + -3s)) = 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 '(-2 + -7s)' equal to zero and attempt to solve: Simplifying -2 + -7s = 0 Solving -2 + -7s = 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 + -7s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7s = 0 + 2 -7s = 0 + 2 Combine like terms: 0 + 2 = 2 -7s = 2 Divide each side by '-7'. s = -0.2857142857 Simplifying s = -0.2857142857Subproblem 3
Set the factor '(8 + -3s)' equal to zero and attempt to solve: Simplifying 8 + -3s = 0 Solving 8 + -3s = 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 + -3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3s = 0 + -8 -3s = 0 + -8 Combine like terms: 0 + -8 = -8 -3s = -8 Divide each side by '-3'. s = 2.666666667 Simplifying s = 2.666666667Solution
s = {-0.2857142857, 2.666666667}
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