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Simplifying 4s2 + 20s = -25 Reorder the terms: 20s + 4s2 = -25 Solving 20s + 4s2 = -25 Solving for variable 's'. Reorder the terms: 25 + 20s + 4s2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 20s + 4s2 = 0 Factor a trinomial. (5 + 2s)(5 + 2s) = 0Subproblem 1
Set the factor '(5 + 2s)' equal to zero and attempt to solve: Simplifying 5 + 2s = 0 Solving 5 + 2s = 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 + 2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2s = 0 + -5 2s = 0 + -5 Combine like terms: 0 + -5 = -5 2s = -5 Divide each side by '2'. s = -2.5 Simplifying s = -2.5Subproblem 2
Set the factor '(5 + 2s)' equal to zero and attempt to solve: Simplifying 5 + 2s = 0 Solving 5 + 2s = 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 + 2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2s = 0 + -5 2s = 0 + -5 Combine like terms: 0 + -5 = -5 2s = -5 Divide each side by '2'. s = -2.5 Simplifying s = -2.5Solution
s = {-2.5, -2.5}
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