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Simplifying (-4s2 + 5s + 2) + -1(6s2 + 2) = 0 Reorder the terms: (2 + 5s + -4s2) + -1(6s2 + 2) = 0 Remove parenthesis around (2 + 5s + -4s2) 2 + 5s + -4s2 + -1(6s2 + 2) = 0 Reorder the terms: 2 + 5s + -4s2 + -1(2 + 6s2) = 0 2 + 5s + -4s2 + (2 * -1 + 6s2 * -1) = 0 2 + 5s + -4s2 + (-2 + -6s2) = 0 Reorder the terms: 2 + -2 + 5s + -4s2 + -6s2 = 0 Combine like terms: 2 + -2 = 0 0 + 5s + -4s2 + -6s2 = 0 5s + -4s2 + -6s2 = 0 Combine like terms: -4s2 + -6s2 = -10s2 5s + -10s2 = 0 Solving 5s + -10s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(1 + -2s) = 0 Ignore the factor 5.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 '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 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 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Divide each side by '-2'. s = 0.5 Simplifying s = 0.5Solution
s = {0, 0.5}
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