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Simplifying 6s2 + -1s + -5 = 0 Reorder the terms: -5 + -1s + 6s2 = 0 Solving -5 + -1s + 6s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -6s)(1 + -1s) = 0Subproblem 1
Set the factor '(-5 + -6s)' equal to zero and attempt to solve: Simplifying -5 + -6s = 0 Solving -5 + -6s = 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 + -6s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6s = 0 + 5 -6s = 0 + 5 Combine like terms: 0 + 5 = 5 -6s = 5 Divide each side by '-6'. s = -0.8333333333 Simplifying s = -0.8333333333Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 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 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Solution
s = {-0.8333333333, 1}
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