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Simplifying 25r2 + 40rd + 16d2 = 0 Reorder the terms: 40dr + 16d2 + 25r2 = 0 Solving 40dr + 16d2 + 25r2 = 0 Solving for variable 'd'. Factor a trinomial. (4d + 5r)(4d + 5r) = 0Subproblem 1
Set the factor '(4d + 5r)' equal to zero and attempt to solve: Simplifying 4d + 5r = 0 Solving 4d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. 4d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 4d + 0 = 0 + -5r 4d = 0 + -5r Remove the zero: 4d = -5r Divide each side by '4'. d = -1.25r Simplifying d = -1.25rSubproblem 2
Set the factor '(4d + 5r)' equal to zero and attempt to solve: Simplifying 4d + 5r = 0 Solving 4d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. 4d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 4d + 0 = 0 + -5r 4d = 0 + -5r Remove the zero: 4d = -5r Divide each side by '4'. d = -1.25r Simplifying d = -1.25rSolution
d = {-1.25r, -1.25r}
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