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Simplifying 12d + d(3d + -5) = 0 Reorder the terms: 12d + d(-5 + 3d) = 0 12d + (-5 * d + 3d * d) = 0 12d + (-5d + 3d2) = 0 Combine like terms: 12d + -5d = 7d 7d + 3d2 = 0 Solving 7d + 3d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(7 + 3d) = 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 '(7 + 3d)' equal to zero and attempt to solve: Simplifying 7 + 3d = 0 Solving 7 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 0 + -7 3d = 0 + -7 Combine like terms: 0 + -7 = -7 3d = -7 Divide each side by '3'. d = -2.333333333 Simplifying d = -2.333333333Solution
d = {0, -2.333333333}
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