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Simplifying 20s2 + -27sd + 9d2 = 0 Reorder the terms: -27ds + 9d2 + 20s2 = 0 Solving -27ds + 9d2 + 20s2 = 0 Solving for variable 'd'. Factor a trinomial. (3d + -5s)(3d + -4s) = 0Subproblem 1
Set the factor '(3d + -5s)' equal to zero and attempt to solve: Simplifying 3d + -5s = 0 Solving 3d + -5s = 0 Move all terms containing d to the left, all other terms to the right. Add '5s' to each side of the equation. 3d + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 3d + 0 = 0 + 5s 3d = 0 + 5s Remove the zero: 3d = 5s Divide each side by '3'. d = 1.666666667s Simplifying d = 1.666666667sSubproblem 2
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 = 1.333333333sSolution
d = {1.666666667s, 1.333333333s}
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