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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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