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Simplifying 20s2 + -39sd + 18d2 = 0 Reorder the terms: -39ds + 18d2 + 20s2 = 0 Solving -39ds + 18d2 + 20s2 = 0 Solving for variable 'd'. Factor a trinomial. (3d + -4s)(6d + -5s) = 0Subproblem 1
Set the factor '(3d + -4s)' equal to zero and attempt to solve: Simplifying 3d + -4s = 0 Solving 3d + -4s = 0 Move all terms containing d to the left, all other terms to the right. Add '4s' to each side of the equation. 3d + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 3d + 0 = 0 + 4s 3d = 0 + 4s Remove the zero: 3d = 4s Divide each side by '3'. d = 1.333333333s Simplifying d = 1.333333333sSubproblem 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 = {1.333333333s, 0.8333333333s}
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