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Simplifying 36r2 + 84rd + 49d2 = 0 Reorder the terms: 84dr + 49d2 + 36r2 = 0 Solving 84dr + 49d2 + 36r2 = 0 Solving for variable 'd'. Factor a trinomial. (7d + 6r)(7d + 6r) = 0Subproblem 1
Set the factor '(7d + 6r)' equal to zero and attempt to solve: Simplifying 7d + 6r = 0 Solving 7d + 6r = 0 Move all terms containing d to the left, all other terms to the right. Add '-6r' to each side of the equation. 7d + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 7d + 0 = 0 + -6r 7d = 0 + -6r Remove the zero: 7d = -6r Divide each side by '7'. d = -0.8571428571r Simplifying d = -0.8571428571rSubproblem 2
Set the factor '(7d + 6r)' equal to zero and attempt to solve: Simplifying 7d + 6r = 0 Solving 7d + 6r = 0 Move all terms containing d to the left, all other terms to the right. Add '-6r' to each side of the equation. 7d + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 7d + 0 = 0 + -6r 7d = 0 + -6r Remove the zero: 7d = -6r Divide each side by '7'. d = -0.8571428571r Simplifying d = -0.8571428571rSolution
d = {-0.8571428571r, -0.8571428571r}
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