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Simplifying 3s2 + -5s2 + s + -6s = 0 Reorder the terms: s + -6s + 3s2 + -5s2 = 0 Combine like terms: s + -6s = -5s -5s + 3s2 + -5s2 = 0 Combine like terms: 3s2 + -5s2 = -2s2 -5s + -2s2 = 0 Solving -5s + -2s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '-1s'. -1s(5 + 2s) = 0 Ignore the factor -1.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 '(5 + 2s)' equal to zero and attempt to solve: Simplifying 5 + 2s = 0 Solving 5 + 2s = 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 + 2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2s = 0 + -5 2s = 0 + -5 Combine like terms: 0 + -5 = -5 2s = -5 Divide each side by '2'. s = -2.5 Simplifying s = -2.5Solution
s = {0, -2.5}
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