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Simplifying 3d(10d + -5) = 0 Reorder the terms: 3d(-5 + 10d) = 0 (-5 * 3d + 10d * 3d) = 0 (-15d + 30d2) = 0 Solving -15d + 30d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '15d'. 15d(-1 + 2d) = 0 Ignore the factor 15.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 + 2d)' equal to zero and attempt to solve: Simplifying -1 + 2d = 0 Solving -1 + 2d = 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 + 2d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2d = 0 + 1 2d = 0 + 1 Combine like terms: 0 + 1 = 1 2d = 1 Divide each side by '2'. d = 0.5 Simplifying d = 0.5Solution
d = {0, 0.5}
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