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Simplifying 12d2 = -27d Solving 12d2 = -27d Solving for variable 'd'. Reorder the terms: 27d + 12d2 = -27d + 27d Combine like terms: -27d + 27d = 0 27d + 12d2 = 0 Factor out the Greatest Common Factor (GCF), '3d'. 3d(9 + 4d) = 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 '(9 + 4d)' equal to zero and attempt to solve: Simplifying 9 + 4d = 0 Solving 9 + 4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4d = 0 + -9 4d = 0 + -9 Combine like terms: 0 + -9 = -9 4d = -9 Divide each side by '4'. d = -2.25 Simplifying d = -2.25Solution
d = {0, -2.25}
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