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Simplifying 4d(6d + 5) = 0 Reorder the terms: 4d(5 + 6d) = 0 (5 * 4d + 6d * 4d) = 0 (20d + 24d2) = 0 Solving 20d + 24d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4d'. 4d(5 + 6d) = 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 '(5 + 6d)' equal to zero and attempt to solve: Simplifying 5 + 6d = 0 Solving 5 + 6d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = 0 + -5 6d = 0 + -5 Combine like terms: 0 + -5 = -5 6d = -5 Divide each side by '6'. d = -0.8333333333 Simplifying d = -0.8333333333Solution
d = {0, -0.8333333333}
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