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Simplifying d3 = 9d Solving d3 = 9d Solving for variable 'd'. Reorder the terms: -9d + d3 = 9d + -9d Combine like terms: 9d + -9d = 0 -9d + d3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-9 + d2) = 0 Factor a difference between two squares. d((3 + d)(-3 + d)) = 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 '(3 + d)' equal to zero and attempt to solve: Simplifying 3 + d = 0 Solving 3 + d = 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 + d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + d = 0 + -3 d = 0 + -3 Combine like terms: 0 + -3 = -3 d = -3 Simplifying d = -3Subproblem 3
Set the factor '(-3 + d)' equal to zero and attempt to solve: Simplifying -3 + d = 0 Solving -3 + d = 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 + d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + d = 0 + 3 d = 0 + 3 Combine like terms: 0 + 3 = 3 d = 3 Simplifying d = 3Solution
d = {0, -3, 3}
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