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Simplifying 9r2 + -24rt + 16t2 = 0 Reorder the terms: -24rt + 9r2 + 16t2 = 0 Solving -24rt + 9r2 + 16t2 = 0 Solving for variable 'r'. Factor a trinomial. (3r + -4t)(3r + -4t) = 0Subproblem 1
Set the factor '(3r + -4t)' equal to zero and attempt to solve: Simplifying 3r + -4t = 0 Solving 3r + -4t = 0 Move all terms containing r to the left, all other terms to the right. Add '4t' to each side of the equation. 3r + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 3r + 0 = 0 + 4t 3r = 0 + 4t Remove the zero: 3r = 4t Divide each side by '3'. r = 1.333333333t Simplifying r = 1.333333333tSubproblem 2
Set the factor '(3r + -4t)' equal to zero and attempt to solve: Simplifying 3r + -4t = 0 Solving 3r + -4t = 0 Move all terms containing r to the left, all other terms to the right. Add '4t' to each side of the equation. 3r + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 3r + 0 = 0 + 4t 3r = 0 + 4t Remove the zero: 3r = 4t Divide each side by '3'. r = 1.333333333t Simplifying r = 1.333333333tSolution
r = {1.333333333t, 1.333333333t}
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