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Simplifying 81s2 + -72s = -16 Reorder the terms: -72s + 81s2 = -16 Solving -72s + 81s2 = -16 Solving for variable 's'. Reorder the terms: 16 + -72s + 81s2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -72s + 81s2 = 0 Factor a trinomial. (4 + -9s)(4 + -9s) = 0Subproblem 1
Set the factor '(4 + -9s)' equal to zero and attempt to solve: Simplifying 4 + -9s = 0 Solving 4 + -9s = 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 + -9s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9s = 0 + -4 -9s = 0 + -4 Combine like terms: 0 + -4 = -4 -9s = -4 Divide each side by '-9'. s = 0.4444444444 Simplifying s = 0.4444444444Subproblem 2
Set the factor '(4 + -9s)' equal to zero and attempt to solve: Simplifying 4 + -9s = 0 Solving 4 + -9s = 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 + -9s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9s = 0 + -4 -9s = 0 + -4 Combine like terms: 0 + -4 = -4 -9s = -4 Divide each side by '-9'. s = 0.4444444444 Simplifying s = 0.4444444444Solution
s = {0.4444444444, 0.4444444444}
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