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Simplifying -2d(2d + -5) = 0 Reorder the terms: -2d(-5 + 2d) = 0 (-5 * -2d + 2d * -2d) = 0 (10d + -4d2) = 0 Solving 10d + -4d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2d'. 2d(5 + -2d) = 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 + -2d)' equal to zero and attempt to solve: Simplifying 5 + -2d = 0 Solving 5 + -2d = 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 + -2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = 0 + -5 -2d = 0 + -5 Combine like terms: 0 + -5 = -5 -2d = -5 Divide each side by '-2'. d = 2.5 Simplifying d = 2.5Solution
d = {0, 2.5}
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