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Simplifying 25r2 + 80rd + 64d2 = 0 Reorder the terms: 80dr + 64d2 + 25r2 = 0 Solving 80dr + 64d2 + 25r2 = 0 Solving for variable 'd'. Factor a trinomial. (8d + 5r)(8d + 5r) = 0Subproblem 1
Set the factor '(8d + 5r)' equal to zero and attempt to solve: Simplifying 8d + 5r = 0 Solving 8d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. 8d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 8d + 0 = 0 + -5r 8d = 0 + -5r Remove the zero: 8d = -5r Divide each side by '8'. d = -0.625r Simplifying d = -0.625rSubproblem 2
Set the factor '(8d + 5r)' equal to zero and attempt to solve: Simplifying 8d + 5r = 0 Solving 8d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. 8d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 8d + 0 = 0 + -5r 8d = 0 + -5r Remove the zero: 8d = -5r Divide each side by '8'. d = -0.625r Simplifying d = -0.625rSolution
d = {-0.625r, -0.625r}
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