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Simplifying 30d2 + -17dr + -35r2 = 0 Reorder the terms: -17dr + 30d2 + -35r2 = 0 Solving -17dr + 30d2 + -35r2 = 0 Solving for variable 'd'. Factor a trinomial. (5d + -7r)(6d + 5r) = 0Subproblem 1
Set the factor '(5d + -7r)' equal to zero and attempt to solve: Simplifying 5d + -7r = 0 Solving 5d + -7r = 0 Move all terms containing d to the left, all other terms to the right. Add '7r' to each side of the equation. 5d + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 5d + 0 = 0 + 7r 5d = 0 + 7r Remove the zero: 5d = 7r Divide each side by '5'. d = 1.4r Simplifying d = 1.4rSubproblem 2
Set the factor '(6d + 5r)' equal to zero and attempt to solve: Simplifying 6d + 5r = 0 Solving 6d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. 6d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 6d + 0 = 0 + -5r 6d = 0 + -5r Remove the zero: 6d = -5r Divide each side by '6'. d = -0.8333333333r Simplifying d = -0.8333333333rSolution
d = {1.4r, -0.8333333333r}
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