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Simplifying 14d3 + -28d = 0 Reorder the terms: -28d + 14d3 = 0 Solving -28d + 14d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '14d'. 14d(-2 + d2) = 0 Ignore the factor 14.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 + d2)' equal to zero and attempt to solve: Simplifying -2 + d2 = 0 Solving -2 + d2 = 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 + d2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + d2 = 0 + 2 d2 = 0 + 2 Combine like terms: 0 + 2 = 2 d2 = 2 Simplifying d2 = 2 Take the square root of each side: d = {-1.414213562, 1.414213562}Solution
d = {0, -1.414213562, 1.414213562}
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