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Simplifying 112s3 + 34s2 + -6s = 0 Reorder the terms: -6s + 34s2 + 112s3 = 0 Solving -6s + 34s2 + 112s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(-3 + 17s + 56s2) = 0 Factor a trinomial. 2s((-3 + -7s)(1 + -8s)) = 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 '(-3 + -7s)' equal to zero and attempt to solve: Simplifying -3 + -7s = 0 Solving -3 + -7s = 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 + -7s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7s = 0 + 3 -7s = 0 + 3 Combine like terms: 0 + 3 = 3 -7s = 3 Divide each side by '-7'. s = -0.4285714286 Simplifying s = -0.4285714286Subproblem 3
Set the factor '(1 + -8s)' equal to zero and attempt to solve: Simplifying 1 + -8s = 0 Solving 1 + -8s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8s = 0 + -1 -8s = 0 + -1 Combine like terms: 0 + -1 = -1 -8s = -1 Divide each side by '-8'. s = 0.125 Simplifying s = 0.125Solution
s = {0, -0.4285714286, 0.125}
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