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Simplifying 12d2 + -13ds + -35s2 = 0 Reorder the terms: -13ds + 12d2 + -35s2 = 0 Solving -13ds + 12d2 + -35s2 = 0 Solving for variable 'd'. Factor a trinomial. (3d + -7s)(4d + 5s) = 0Subproblem 1
Set the factor '(3d + -7s)' equal to zero and attempt to solve: Simplifying 3d + -7s = 0 Solving 3d + -7s = 0 Move all terms containing d to the left, all other terms to the right. Add '7s' to each side of the equation. 3d + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 3d + 0 = 0 + 7s 3d = 0 + 7s Remove the zero: 3d = 7s Divide each side by '3'. d = 2.333333333s Simplifying d = 2.333333333sSubproblem 2
Set the factor '(4d + 5s)' equal to zero and attempt to solve: Simplifying 4d + 5s = 0 Solving 4d + 5s = 0 Move all terms containing d to the left, all other terms to the right. Add '-5s' to each side of the equation. 4d + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 4d + 0 = 0 + -5s 4d = 0 + -5s Remove the zero: 4d = -5s Divide each side by '4'. d = -1.25s Simplifying d = -1.25sSolution
d = {2.333333333s, -1.25s}
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