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Simplifying d(d + -3) = 12d Reorder the terms: d(-3 + d) = 12d (-3 * d + d * d) = 12d (-3d + d2) = 12d Solving -3d + d2 = 12d Solving for variable 'd'. Reorder the terms: -3d + -12d + d2 = 12d + -12d Combine like terms: -3d + -12d = -15d -15d + d2 = 12d + -12d Combine like terms: 12d + -12d = 0 -15d + d2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-15 + d) = 0Subproblem 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 + d)' equal to zero and attempt to solve: Simplifying -15 + d = 0 Solving -15 + d = 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 + d = 0 + 15 Combine like terms: -15 + 15 = 0 0 + d = 0 + 15 d = 0 + 15 Combine like terms: 0 + 15 = 15 d = 15 Simplifying d = 15Solution
d = {0, 15}
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