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Simplifying 9r2 + 48rt + 64t2 = 0 Reorder the terms: 48rt + 9r2 + 64t2 = 0 Solving 48rt + 9r2 + 64t2 = 0 Solving for variable 'r'. Factor a trinomial. (3r + 8t)(3r + 8t) = 0Subproblem 1
Set the factor '(3r + 8t)' equal to zero and attempt to solve: Simplifying 3r + 8t = 0 Solving 3r + 8t = 0 Move all terms containing r to the left, all other terms to the right. Add '-8t' to each side of the equation. 3r + 8t + -8t = 0 + -8t Combine like terms: 8t + -8t = 0 3r + 0 = 0 + -8t 3r = 0 + -8t Remove the zero: 3r = -8t Divide each side by '3'. r = -2.666666667t Simplifying r = -2.666666667tSubproblem 2
Set the factor '(3r + 8t)' equal to zero and attempt to solve: Simplifying 3r + 8t = 0 Solving 3r + 8t = 0 Move all terms containing r to the left, all other terms to the right. Add '-8t' to each side of the equation. 3r + 8t + -8t = 0 + -8t Combine like terms: 8t + -8t = 0 3r + 0 = 0 + -8t 3r = 0 + -8t Remove the zero: 3r = -8t Divide each side by '3'. r = -2.666666667t Simplifying r = -2.666666667tSolution
r = {-2.666666667t, -2.666666667t}
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