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Simplifying 2d3 + -50d = 0 Reorder the terms: -50d + 2d3 = 0 Solving -50d + 2d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2d'. 2d(-25 + d2) = 0 Factor a difference between two squares. 2d((5 + d)(-5 + 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 '(5 + d)' equal to zero and attempt to solve: Simplifying 5 + d = 0 Solving 5 + d = 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 + d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + d = 0 + -5 d = 0 + -5 Combine like terms: 0 + -5 = -5 d = -5 Simplifying d = -5Subproblem 3
Set the factor '(-5 + d)' equal to zero and attempt to solve: Simplifying -5 + d = 0 Solving -5 + d = 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 + d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + d = 0 + 5 d = 0 + 5 Combine like terms: 0 + 5 = 5 d = 5 Simplifying d = 5Solution
d = {0, -5, 5}
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