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Simplifying 16r2 + 56rd + 49d2 = 0 Reorder the terms: 56dr + 49d2 + 16r2 = 0 Solving 56dr + 49d2 + 16r2 = 0 Solving for variable 'd'. Factor a trinomial. (7d + 4r)(7d + 4r) = 0Subproblem 1
Set the factor '(7d + 4r)' equal to zero and attempt to solve: Simplifying 7d + 4r = 0 Solving 7d + 4r = 0 Move all terms containing d to the left, all other terms to the right. Add '-4r' to each side of the equation. 7d + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 7d + 0 = 0 + -4r 7d = 0 + -4r Remove the zero: 7d = -4r Divide each side by '7'. d = -0.5714285714r Simplifying d = -0.5714285714rSubproblem 2
Set the factor '(7d + 4r)' equal to zero and attempt to solve: Simplifying 7d + 4r = 0 Solving 7d + 4r = 0 Move all terms containing d to the left, all other terms to the right. Add '-4r' to each side of the equation. 7d + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 7d + 0 = 0 + -4r 7d = 0 + -4r Remove the zero: 7d = -4r Divide each side by '7'. d = -0.5714285714r Simplifying d = -0.5714285714rSolution
d = {-0.5714285714r, -0.5714285714r}
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