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Simplifying -10s = -3s3 + -13s2 Reorder the terms: -10s = -13s2 + -3s3 Solving -10s = -13s2 + -3s3 Solving for variable 's'. Reorder the terms: -10s + 13s2 + 3s3 = -13s2 + 13s2 + -3s3 + 3s3 Combine like terms: -13s2 + 13s2 = 0 -10s + 13s2 + 3s3 = 0 + -3s3 + 3s3 -10s + 13s2 + 3s3 = -3s3 + 3s3 Combine like terms: -3s3 + 3s3 = 0 -10s + 13s2 + 3s3 = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10 + 13s + 3s2) = 0 Factor a trinomial. s((-5 + -1s)(2 + -3s)) = 0Subproblem 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 '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5Subproblem 3
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 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 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Solution
s = {0, -5, 0.6666666667}
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