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Simplifying 36s2 + -84sd + 49d2 = 0 Reorder the terms: -84ds + 49d2 + 36s2 = 0 Solving -84ds + 49d2 + 36s2 = 0 Solving for variable 'd'. Factor a trinomial. (7d + -6s)(7d + -6s) = 0Subproblem 1
Set the factor '(7d + -6s)' equal to zero and attempt to solve: Simplifying 7d + -6s = 0 Solving 7d + -6s = 0 Move all terms containing d to the left, all other terms to the right. Add '6s' to each side of the equation. 7d + -6s + 6s = 0 + 6s Combine like terms: -6s + 6s = 0 7d + 0 = 0 + 6s 7d = 0 + 6s Remove the zero: 7d = 6s Divide each side by '7'. d = 0.8571428571s Simplifying d = 0.8571428571sSubproblem 2
Set the factor '(7d + -6s)' equal to zero and attempt to solve: Simplifying 7d + -6s = 0 Solving 7d + -6s = 0 Move all terms containing d to the left, all other terms to the right. Add '6s' to each side of the equation. 7d + -6s + 6s = 0 + 6s Combine like terms: -6s + 6s = 0 7d + 0 = 0 + 6s 7d = 0 + 6s Remove the zero: 7d = 6s Divide each side by '7'. d = 0.8571428571s Simplifying d = 0.8571428571sSolution
d = {0.8571428571s, 0.8571428571s}
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