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Simplifying 24d2 + -6d = 0 Reorder the terms: -6d + 24d2 = 0 Solving -6d + 24d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '6d'. 6d(-1 + 4d) = 0 Ignore the factor 6.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 + 4d)' equal to zero and attempt to solve: Simplifying -1 + 4d = 0 Solving -1 + 4d = 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 + 4d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4d = 0 + 1 4d = 0 + 1 Combine like terms: 0 + 1 = 1 4d = 1 Divide each side by '4'. d = 0.25 Simplifying d = 0.25Solution
d = {0, 0.25}
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