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Simplifying 5s2 + -7s + -6 = 0 Reorder the terms: -6 + -7s + 5s2 = 0 Solving -6 + -7s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -5s)(2 + -1s) = 0Subproblem 1
Set the factor '(-3 + -5s)' equal to zero and attempt to solve: Simplifying -3 + -5s = 0 Solving -3 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5s = 0 + 3 -5s = 0 + 3 Combine like terms: 0 + 3 = 3 -5s = 3 Divide each side by '-5'. s = -0.6 Simplifying s = -0.6Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 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 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Solution
s = {-0.6, 2}
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