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Simplifying 5s2 + 32s + 35 = 0 Reorder the terms: 35 + 32s + 5s2 = 0 Solving 35 + 32s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + s)(7 + 5s) = 0Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 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 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Subproblem 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 = {-5, -1.4}
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