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Simplifying 27d2 = 3d Solving 27d2 = 3d Solving for variable 'd'. Reorder the terms: -3d + 27d2 = 3d + -3d Combine like terms: 3d + -3d = 0 -3d + 27d2 = 0 Factor out the Greatest Common Factor (GCF), '3d'. 3d(-1 + 9d) = 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 '(-1 + 9d)' equal to zero and attempt to solve: Simplifying -1 + 9d = 0 Solving -1 + 9d = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9d = 0 + 1 9d = 0 + 1 Combine like terms: 0 + 1 = 1 9d = 1 Divide each side by '9'. d = 0.1111111111 Simplifying d = 0.1111111111Solution
d = {0, 0.1111111111}
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