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Simplifying 4d3 + -81d = 0 Reorder the terms: -81d + 4d3 = 0 Solving -81d + 4d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-81 + 4d2) = 0 Factor a difference between two squares. d((9 + 2d)(-9 + 2d)) = 0Subproblem 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 '(9 + 2d)' equal to zero and attempt to solve: Simplifying 9 + 2d = 0 Solving 9 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = 0 + -9 2d = 0 + -9 Combine like terms: 0 + -9 = -9 2d = -9 Divide each side by '2'. d = -4.5 Simplifying d = -4.5Subproblem 3
Set the factor '(-9 + 2d)' equal to zero and attempt to solve: Simplifying -9 + 2d = 0 Solving -9 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2d = 0 + 9 2d = 0 + 9 Combine like terms: 0 + 9 = 9 2d = 9 Divide each side by '2'. d = 4.5 Simplifying d = 4.5Solution
d = {0, -4.5, 4.5}
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