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Simplifying 21s2 + -15s + 28s + -20 = 0 Reorder the terms: -20 + -15s + 28s + 21s2 = 0 Combine like terms: -15s + 28s = 13s -20 + 13s + 21s2 = 0 Solving -20 + 13s + 21s2 = 0 Solving for variable 's'. Factor a trinomial. (-4 + -3s)(5 + -7s) = 0Subproblem 1
Set the factor '(-4 + -3s)' equal to zero and attempt to solve: Simplifying -4 + -3s = 0 Solving -4 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3s = 0 + 4 -3s = 0 + 4 Combine like terms: 0 + 4 = 4 -3s = 4 Divide each side by '-3'. s = -1.333333333 Simplifying s = -1.333333333Subproblem 2
Set the factor '(5 + -7s)' equal to zero and attempt to solve: Simplifying 5 + -7s = 0 Solving 5 + -7s = 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 + -7s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7s = 0 + -5 -7s = 0 + -5 Combine like terms: 0 + -5 = -5 -7s = -5 Divide each side by '-7'. s = 0.7142857143 Simplifying s = 0.7142857143Solution
s = {-1.333333333, 0.7142857143}
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