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Simplifying 25s2 + -90s + 81 = 0 Reorder the terms: 81 + -90s + 25s2 = 0 Solving 81 + -90s + 25s2 = 0 Solving for variable 's'. Factor a trinomial. (9 + -5s)(9 + -5s) = 0Subproblem 1
Set the factor '(9 + -5s)' equal to zero and attempt to solve: Simplifying 9 + -5s = 0 Solving 9 + -5s = 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 + -5s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5s = 0 + -9 -5s = 0 + -9 Combine like terms: 0 + -9 = -9 -5s = -9 Divide each side by '-5'. s = 1.8 Simplifying s = 1.8Subproblem 2
Set the factor '(9 + -5s)' equal to zero and attempt to solve: Simplifying 9 + -5s = 0 Solving 9 + -5s = 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 + -5s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5s = 0 + -9 -5s = 0 + -9 Combine like terms: 0 + -9 = -9 -5s = -9 Divide each side by '-5'. s = 1.8 Simplifying s = 1.8Solution
s = {1.8, 1.8}
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