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Simplifying 9d2 + 101 = 8d + 101 Reorder the terms: 101 + 9d2 = 8d + 101 Reorder the terms: 101 + 9d2 = 101 + 8d Add '-101' to each side of the equation. 101 + -101 + 9d2 = 101 + -101 + 8d Combine like terms: 101 + -101 = 0 0 + 9d2 = 101 + -101 + 8d 9d2 = 101 + -101 + 8d Combine like terms: 101 + -101 = 0 9d2 = 0 + 8d 9d2 = 8d Solving 9d2 = 8d Solving for variable 'd'. Reorder the terms: -8d + 9d2 = 8d + -8d Combine like terms: 8d + -8d = 0 -8d + 9d2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-8 + 9d) = 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 '(-8 + 9d)' equal to zero and attempt to solve: Simplifying -8 + 9d = 0 Solving -8 + 9d = 0 Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9d = 0 + 8 9d = 0 + 8 Combine like terms: 0 + 8 = 8 9d = 8 Divide each side by '9'. d = 0.8888888889 Simplifying d = 0.8888888889Solution
d = {0, 0.8888888889}
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