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Simplifying 4ds2 + -18ds + -90d = 0 Reorder the terms: -90d + -18ds + 4ds2 = 0 Solving -90d + -18ds + 4ds2 = 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(-45 + -9s + 2s2) = 0 Factor a trinomial. 2d((-3 + -1s)(15 + -2s)) = 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 '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Add 's' to each side of the equation. -1s + s = 3 + s Combine like terms: -1s + s = 0 0 = 3 + s Simplifying 0 = 3 + s 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 '(15 + -2s)' equal to zero and attempt to solve: Simplifying 15 + -2s = 0 Solving 15 + -2s = 0 Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2s = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2s = 0 + -15 -2s = 0 + -15 Combine like terms: 0 + -15 = -15 -2s = -15 Add '2s' to each side of the equation. -2s + 2s = -15 + 2s Combine like terms: -2s + 2s = 0 0 = -15 + 2s Simplifying 0 = -15 + 2s 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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