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Simplifying 4s2 + 25s + 36 = 0 Reorder the terms: 36 + 25s + 4s2 = 0 Solving 36 + 25s + 4s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + s)(9 + 4s) = 0Subproblem 1
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 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 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Subproblem 2
Set the factor '(9 + 4s)' equal to zero and attempt to solve: Simplifying 9 + 4s = 0 Solving 9 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4s = 0 + -9 4s = 0 + -9 Combine like terms: 0 + -9 = -9 4s = -9 Divide each side by '4'. s = -2.25 Simplifying s = -2.25Solution
s = {-4, -2.25}
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