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Simplifying D = -16D2 + 100D Reorder the terms: D = 100D + -16D2 Solving D = 100D + -16D2 Solving for variable 'D'. Combine like terms: D + -100D = -99D -99D + 16D2 = 100D + -16D2 + -100D + 16D2 Reorder the terms: -99D + 16D2 = 100D + -100D + -16D2 + 16D2 Combine like terms: 100D + -100D = 0 -99D + 16D2 = 0 + -16D2 + 16D2 -99D + 16D2 = -16D2 + 16D2 Combine like terms: -16D2 + 16D2 = 0 -99D + 16D2 = 0 Factor out the Greatest Common Factor (GCF), 'D'. D(-99 + 16D) = 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 '(-99 + 16D)' equal to zero and attempt to solve: Simplifying -99 + 16D = 0 Solving -99 + 16D = 0 Move all terms containing D to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 99 + 16D = 0 + 99 Combine like terms: -99 + 99 = 0 0 + 16D = 0 + 99 16D = 0 + 99 Combine like terms: 0 + 99 = 99 16D = 99 Divide each side by '16'. D = 6.1875 Simplifying D = 6.1875Solution
D = {0, 6.1875}
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