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Simplifying 2d2 = 6d Solving 2d2 = 6d Solving for variable 'd'. Reorder the terms: -6d + 2d2 = 6d + -6d Combine like terms: 6d + -6d = 0 -6d + 2d2 = 0 Factor out the Greatest Common Factor (GCF), '2d'. 2d(-3 + d) = 0 Ignore the factor 2.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 + d)' equal to zero and attempt to solve: Simplifying -3 + d = 0 Solving -3 + d = 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 + d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + d = 0 + 3 d = 0 + 3 Combine like terms: 0 + 3 = 3 d = 3 Simplifying d = 3Solution
d = {0, 3}
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