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Simplifying 9s2 + 25 = 30s Reorder the terms: 25 + 9s2 = 30s Solving 25 + 9s2 = 30s Solving for variable 's'. Reorder the terms: 25 + -30s + 9s2 = 30s + -30s Combine like terms: 30s + -30s = 0 25 + -30s + 9s2 = 0 Factor a trinomial. (5 + -3s)(5 + -3s) = 0Subproblem 1
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 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 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Subproblem 2
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 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 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {1.666666667, 1.666666667}
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