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Simplifying 84d2 + 32d = 0 Reorder the terms: 32d + 84d2 = 0 Solving 32d + 84d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4d'. 4d(8 + 21d) = 0 Ignore the factor 4.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 '(8 + 21d)' equal to zero and attempt to solve: Simplifying 8 + 21d = 0 Solving 8 + 21d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 21d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 21d = 0 + -8 21d = 0 + -8 Combine like terms: 0 + -8 = -8 21d = -8 Divide each side by '21'. d = -0.380952381 Simplifying d = -0.380952381Solution
d = {0, -0.380952381}
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