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Simplifying 6d3 + -9d = 0 Reorder the terms: -9d + 6d3 = 0 Solving -9d + 6d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3d'. 3d(-3 + 2d2) = 0 Ignore the factor 3.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 + 2d2)' equal to zero and attempt to solve: Simplifying -3 + 2d2 = 0 Solving -3 + 2d2 = 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 + 2d2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2d2 = 0 + 3 2d2 = 0 + 3 Combine like terms: 0 + 3 = 3 2d2 = 3 Divide each side by '2'. d2 = 1.5 Simplifying d2 = 1.5 Take the square root of each side: d = {-1.224744871, 1.224744871}Solution
d = {0, -1.224744871, 1.224744871}
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