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Simplifying -10d(d2 + 4d) = 0 Reorder the terms: -10d(4d + d2) = 0 (4d * -10d + d2 * -10d) = 0 (-40d2 + -10d3) = 0 Solving -40d2 + -10d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-10d2'. -10d2(4 + d) = 0 Ignore the factor -10.Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve: Simplifying d2 = 0 Solving d2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2 = 0 Take the square root of each side: d = {0}Subproblem 2
Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4Solution
d = {0, -4}
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