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Simplifying 25s2 + 40s = -16 Reorder the terms: 40s + 25s2 = -16 Solving 40s + 25s2 = -16 Solving for variable 's'. Reorder the terms: 16 + 40s + 25s2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 40s + 25s2 = 0 Factor a trinomial. (4 + 5s)(4 + 5s) = 0Subproblem 1
Set the factor '(4 + 5s)' equal to zero and attempt to solve: Simplifying 4 + 5s = 0 Solving 4 + 5s = 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 + 5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5s = 0 + -4 5s = 0 + -4 Combine like terms: 0 + -4 = -4 5s = -4 Divide each side by '5'. s = -0.8 Simplifying s = -0.8Subproblem 2
Set the factor '(4 + 5s)' equal to zero and attempt to solve: Simplifying 4 + 5s = 0 Solving 4 + 5s = 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 + 5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5s = 0 + -4 5s = 0 + -4 Combine like terms: 0 + -4 = -4 5s = -4 Divide each side by '5'. s = -0.8 Simplifying s = -0.8Solution
s = {-0.8, -0.8}
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