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Simplifying 16s2 + 40s = -25 Reorder the terms: 40s + 16s2 = -25 Solving 40s + 16s2 = -25 Solving for variable 's'. Reorder the terms: 25 + 40s + 16s2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 40s + 16s2 = 0 Factor a trinomial. (5 + 4s)(5 + 4s) = 0Subproblem 1
Set the factor '(5 + 4s)' equal to zero and attempt to solve: Simplifying 5 + 4s = 0 Solving 5 + 4s = 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 + 4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4s = 0 + -5 4s = 0 + -5 Combine like terms: 0 + -5 = -5 4s = -5 Divide each side by '4'. s = -1.25 Simplifying s = -1.25Subproblem 2
Set the factor '(5 + 4s)' equal to zero and attempt to solve: Simplifying 5 + 4s = 0 Solving 5 + 4s = 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 + 4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4s = 0 + -5 4s = 0 + -5 Combine like terms: 0 + -5 = -5 4s = -5 Divide each side by '4'. s = -1.25 Simplifying s = -1.25Solution
s = {-1.25, -1.25}
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