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Simplifying 64s2 + -80s + 25 = 0 Reorder the terms: 25 + -80s + 64s2 = 0 Solving 25 + -80s + 64s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + -8s)(5 + -8s) = 0Subproblem 1
Set the factor '(5 + -8s)' equal to zero and attempt to solve: Simplifying 5 + -8s = 0 Solving 5 + -8s = 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 + -8s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8s = 0 + -5 -8s = 0 + -5 Combine like terms: 0 + -5 = -5 -8s = -5 Divide each side by '-8'. s = 0.625 Simplifying s = 0.625Subproblem 2
Set the factor '(5 + -8s)' equal to zero and attempt to solve: Simplifying 5 + -8s = 0 Solving 5 + -8s = 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 + -8s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8s = 0 + -5 -8s = 0 + -5 Combine like terms: 0 + -5 = -5 -8s = -5 Divide each side by '-8'. s = 0.625 Simplifying s = 0.625Solution
s = {0.625, 0.625}
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