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Simplifying 81s2 + -90s + 25 = 0 Reorder the terms: 25 + -90s + 81s2 = 0 Solving 25 + -90s + 81s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + -9s)(5 + -9s) = 0Subproblem 1
Set the factor '(5 + -9s)' equal to zero and attempt to solve: Simplifying 5 + -9s = 0 Solving 5 + -9s = 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 + -9s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9s = 0 + -5 -9s = 0 + -5 Combine like terms: 0 + -5 = -5 -9s = -5 Divide each side by '-9'. s = 0.5555555556 Simplifying s = 0.5555555556Subproblem 2
Set the factor '(5 + -9s)' equal to zero and attempt to solve: Simplifying 5 + -9s = 0 Solving 5 + -9s = 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 + -9s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9s = 0 + -5 -9s = 0 + -5 Combine like terms: 0 + -5 = -5 -9s = -5 Divide each side by '-9'. s = 0.5555555556 Simplifying s = 0.5555555556Solution
s = {0.5555555556, 0.5555555556}
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