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Simplifying 6ds2 + -28ds + 16d = 0 Reorder the terms: 16d + -28ds + 6ds2 = 0 Solving 16d + -28ds + 6ds2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2d'. 2d(8 + -14s + 3s2) = 0 Factor a trinomial. 2d((2 + -3s)(4 + -1s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Add '3s' to each side of the equation. -3s + 3s = -2 + 3s Combine like terms: -3s + 3s = 0 0 = -2 + 3s Simplifying 0 = -2 + 3s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Add 's' to each side of the equation. -1s + s = -4 + s Combine like terms: -1s + s = 0 0 = -4 + s Simplifying 0 = -4 + s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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