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Simplifying 4s2 + -9s + -36s + 81 = 0 Reorder the terms: 81 + -9s + -36s + 4s2 = 0 Combine like terms: -9s + -36s = -45s 81 + -45s + 4s2 = 0 Solving 81 + -45s + 4s2 = 0 Solving for variable 's'. Factor a trinomial. (9 + -4s)(9 + -1s) = 0Subproblem 1
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 = 2.25Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 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 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {2.25, 9}
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