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Simplifying 9d2 + 16 = 24d Reorder the terms: 16 + 9d2 = 24d Solving 16 + 9d2 = 24d Solving for variable 'd'. Reorder the terms: 16 + -24d + 9d2 = 24d + -24d Combine like terms: 24d + -24d = 0 16 + -24d + 9d2 = 0 Factor a trinomial. (4 + -3d)(4 + -3d) = 0Subproblem 1
Set the factor '(4 + -3d)' equal to zero and attempt to solve: Simplifying 4 + -3d = 0 Solving 4 + -3d = 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 + -3d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3d = 0 + -4 -3d = 0 + -4 Combine like terms: 0 + -4 = -4 -3d = -4 Divide each side by '-3'. d = 1.333333333 Simplifying d = 1.333333333Subproblem 2
Set the factor '(4 + -3d)' equal to zero and attempt to solve: Simplifying 4 + -3d = 0 Solving 4 + -3d = 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 + -3d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3d = 0 + -4 -3d = 0 + -4 Combine like terms: 0 + -4 = -4 -3d = -4 Divide each side by '-3'. d = 1.333333333 Simplifying d = 1.333333333Solution
d = {1.333333333, 1.333333333}
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