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Simplifying 25s2 + -60sd + 36d2 = 0 Reorder the terms: -60ds + 36d2 + 25s2 = 0 Solving -60ds + 36d2 + 25s2 = 0 Solving for variable 'd'. Factor a trinomial. (6d + -5s)(6d + -5s) = 0Subproblem 1
Set the factor '(6d + -5s)' equal to zero and attempt to solve: Simplifying 6d + -5s = 0 Solving 6d + -5s = 0 Move all terms containing d to the left, all other terms to the right. Add '5s' to each side of the equation. 6d + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 6d + 0 = 0 + 5s 6d = 0 + 5s Remove the zero: 6d = 5s Divide each side by '6'. d = 0.8333333333s Simplifying d = 0.8333333333sSubproblem 2
Set the factor '(6d + -5s)' equal to zero and attempt to solve: Simplifying 6d + -5s = 0 Solving 6d + -5s = 0 Move all terms containing d to the left, all other terms to the right. Add '5s' to each side of the equation. 6d + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 6d + 0 = 0 + 5s 6d = 0 + 5s Remove the zero: 6d = 5s Divide each side by '6'. d = 0.8333333333s Simplifying d = 0.8333333333sSolution
d = {0.8333333333s, 0.8333333333s}
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