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Simplifying 5s4 + -13s3 + -6s2 = 0 Reorder the terms: -6s2 + -13s3 + 5s4 = 0 Solving -6s2 + -13s3 + 5s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's2'. s2(-6 + -13s + 5s2) = 0 Factor a trinomial. s2((-2 + -5s)(3 + -1s)) = 0Subproblem 1
Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2 = 0 Take the square root of each side: s = {0}Subproblem 2
Set the factor '(-2 + -5s)' equal to zero and attempt to solve: Simplifying -2 + -5s = 0 Solving -2 + -5s = 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 + -5s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5s = 0 + 2 -5s = 0 + 2 Combine like terms: 0 + 2 = 2 -5s = 2 Divide each side by '-5'. s = -0.4 Simplifying s = -0.4Subproblem 3
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {0, -0.4, 3}
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