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Simplifying 25s2 + 70s = -49 Reorder the terms: 70s + 25s2 = -49 Solving 70s + 25s2 = -49 Solving for variable 's'. Reorder the terms: 49 + 70s + 25s2 = -49 + 49 Combine like terms: -49 + 49 = 0 49 + 70s + 25s2 = 0 Factor a trinomial. (7 + 5s)(7 + 5s) = 0Subproblem 1
Set the factor '(7 + 5s)' equal to zero and attempt to solve: Simplifying 7 + 5s = 0 Solving 7 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5s = 0 + -7 5s = 0 + -7 Combine like terms: 0 + -7 = -7 5s = -7 Divide each side by '5'. s = -1.4 Simplifying s = -1.4Subproblem 2
Set the factor '(7 + 5s)' equal to zero and attempt to solve: Simplifying 7 + 5s = 0 Solving 7 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5s = 0 + -7 5s = 0 + -7 Combine like terms: 0 + -7 = -7 5s = -7 Divide each side by '5'. s = -1.4 Simplifying s = -1.4Solution
s = {-1.4, -1.4}
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