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Simplifying 21d2 + -7d = 0 Reorder the terms: -7d + 21d2 = 0 Solving -7d + 21d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '7d'. 7d(-1 + 3d) = 0 Ignore the factor 7.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 '(-1 + 3d)' equal to zero and attempt to solve: Simplifying -1 + 3d = 0 Solving -1 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3d = 0 + 1 3d = 0 + 1 Combine like terms: 0 + 1 = 1 3d = 1 Divide each side by '3'. d = 0.3333333333 Simplifying d = 0.3333333333Solution
d = {0, 0.3333333333}
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