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Simplifying 3d(2d + -15) = 0 Reorder the terms: 3d(-15 + 2d) = 0 (-15 * 3d + 2d * 3d) = 0 (-45d + 6d2) = 0 Solving -45d + 6d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3d'. 3d(-15 + 2d) = 0 Ignore the factor 3.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 '(-15 + 2d)' equal to zero and attempt to solve: Simplifying -15 + 2d = 0 Solving -15 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2d = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2d = 0 + 15 2d = 0 + 15 Combine like terms: 0 + 15 = 15 2d = 15 Divide each side by '2'. d = 7.5 Simplifying d = 7.5Solution
d = {0, 7.5}
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