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Simplifying (3s2 + 4s) + -1(-10s2 + 6s) = 0 Reorder the terms: (4s + 3s2) + -1(-10s2 + 6s) = 0 Remove parenthesis around (4s + 3s2) 4s + 3s2 + -1(-10s2 + 6s) = 0 Reorder the terms: 4s + 3s2 + -1(6s + -10s2) = 0 4s + 3s2 + (6s * -1 + -10s2 * -1) = 0 4s + 3s2 + (-6s + 10s2) = 0 Reorder the terms: 4s + -6s + 3s2 + 10s2 = 0 Combine like terms: 4s + -6s = -2s -2s + 3s2 + 10s2 = 0 Combine like terms: 3s2 + 10s2 = 13s2 -2s + 13s2 = 0 Solving -2s + 13s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-2 + 13s) = 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 '(-2 + 13s)' equal to zero and attempt to solve: Simplifying -2 + 13s = 0 Solving -2 + 13s = 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 + 13s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 13s = 0 + 2 13s = 0 + 2 Combine like terms: 0 + 2 = 2 13s = 2 Divide each side by '13'. s = 0.1538461538 Simplifying s = 0.1538461538Solution
s = {0, 0.1538461538}
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