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Simplifying 9r2 + 12rd + 4d2 = 0 Reorder the terms: 12dr + 4d2 + 9r2 = 0 Solving 12dr + 4d2 + 9r2 = 0 Solving for variable 'd'. Factor a trinomial. (2d + 3r)(2d + 3r) = 0Subproblem 1
Set the factor '(2d + 3r)' equal to zero and attempt to solve: Simplifying 2d + 3r = 0 Solving 2d + 3r = 0 Move all terms containing d to the left, all other terms to the right. Add '-3r' to each side of the equation. 2d + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 2d + 0 = 0 + -3r 2d = 0 + -3r Remove the zero: 2d = -3r Divide each side by '2'. d = -1.5r Simplifying d = -1.5rSubproblem 2
Set the factor '(2d + 3r)' equal to zero and attempt to solve: Simplifying 2d + 3r = 0 Solving 2d + 3r = 0 Move all terms containing d to the left, all other terms to the right. Add '-3r' to each side of the equation. 2d + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 2d + 0 = 0 + -3r 2d = 0 + -3r Remove the zero: 2d = -3r Divide each side by '2'. d = -1.5r Simplifying d = -1.5rSolution
d = {-1.5r, -1.5r}
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