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Simplifying 16r2 + 40rd + 25d2 = 0 Reorder the terms: 40dr + 25d2 + 16r2 = 0 Solving 40dr + 25d2 + 16r2 = 0 Solving for variable 'd'. Factor a trinomial. (5d + 4r)(5d + 4r) = 0Subproblem 1
Set the factor '(5d + 4r)' equal to zero and attempt to solve: Simplifying 5d + 4r = 0 Solving 5d + 4r = 0 Move all terms containing d to the left, all other terms to the right. Add '-4r' to each side of the equation. 5d + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 5d + 0 = 0 + -4r 5d = 0 + -4r Remove the zero: 5d = -4r Divide each side by '5'. d = -0.8r Simplifying d = -0.8rSubproblem 2
Set the factor '(5d + 4r)' equal to zero and attempt to solve: Simplifying 5d + 4r = 0 Solving 5d + 4r = 0 Move all terms containing d to the left, all other terms to the right. Add '-4r' to each side of the equation. 5d + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 5d + 0 = 0 + -4r 5d = 0 + -4r Remove the zero: 5d = -4r Divide each side by '5'. d = -0.8r Simplifying d = -0.8rSolution
d = {-0.8r, -0.8r}
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