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Simplifying 3d2 = 8d Solving 3d2 = 8d Solving for variable 'd'. Reorder the terms: -8d + 3d2 = 8d + -8d Combine like terms: 8d + -8d = 0 -8d + 3d2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-8 + 3d) = 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 '(-8 + 3d)' equal to zero and attempt to solve: Simplifying -8 + 3d = 0 Solving -8 + 3d = 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 + 3d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3d = 0 + 8 3d = 0 + 8 Combine like terms: 0 + 8 = 8 3d = 8 Divide each side by '3'. d = 2.666666667 Simplifying d = 2.666666667Solution
d = {0, 2.666666667}
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