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Simplifying 25s2 + 60s = -36 Reorder the terms: 60s + 25s2 = -36 Solving 60s + 25s2 = -36 Solving for variable 's'. Reorder the terms: 36 + 60s + 25s2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 60s + 25s2 = 0 Factor a trinomial. (6 + 5s)(6 + 5s) = 0Subproblem 1
Set the factor '(6 + 5s)' equal to zero and attempt to solve: Simplifying 6 + 5s = 0 Solving 6 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5s = 0 + -6 5s = 0 + -6 Combine like terms: 0 + -6 = -6 5s = -6 Divide each side by '5'. s = -1.2 Simplifying s = -1.2Subproblem 2
Set the factor '(6 + 5s)' equal to zero and attempt to solve: Simplifying 6 + 5s = 0 Solving 6 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5s = 0 + -6 5s = 0 + -6 Combine like terms: 0 + -6 = -6 5s = -6 Divide each side by '5'. s = -1.2 Simplifying s = -1.2Solution
s = {-1.2, -1.2}
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