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Simplifying 0 = 16d2 + 72rd + 81d2 Reorder the terms: 0 = 72dr + 16d2 + 81d2 Combine like terms: 16d2 + 81d2 = 97d2 0 = 72dr + 97d2 Solving 0 = 72dr + 97d2 Solving for variable 'd'. Remove the zero: -72dr + -97d2 = 72dr + 97d2 + -72dr + -97d2 Reorder the terms: -72dr + -97d2 = 72dr + -72dr + 97d2 + -97d2 Combine like terms: 72dr + -72dr = 0 -72dr + -97d2 = 0 + 97d2 + -97d2 -72dr + -97d2 = 97d2 + -97d2 Combine like terms: 97d2 + -97d2 = 0 -72dr + -97d2 = 0 Factor out the Greatest Common Factor (GCF), '-1d'. -1d(72r + 97d) = 0 Ignore the factor -1.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 '(72r + 97d)' equal to zero and attempt to solve: Simplifying 72r + 97d = 0 Reorder the terms: 97d + 72r = 0 Solving 97d + 72r = 0 Move all terms containing d to the left, all other terms to the right. Add '-72r' to each side of the equation. 97d + 72r + -72r = 0 + -72r Combine like terms: 72r + -72r = 0 97d + 0 = 0 + -72r 97d = 0 + -72r Remove the zero: 97d = -72r Divide each side by '97'. d = -0.7422680412r Simplifying d = -0.7422680412rSolution
d = {0, -0.7422680412r}
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