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Simplifying 9r2 + 42rt + 49t2 = 0 Reorder the terms: 42rt + 9r2 + 49t2 = 0 Solving 42rt + 9r2 + 49t2 = 0 Solving for variable 'r'. Factor a trinomial. (3r + 7t)(3r + 7t) = 0Subproblem 1
Set the factor '(3r + 7t)' equal to zero and attempt to solve: Simplifying 3r + 7t = 0 Solving 3r + 7t = 0 Move all terms containing r to the left, all other terms to the right. Add '-7t' to each side of the equation. 3r + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 3r + 0 = 0 + -7t 3r = 0 + -7t Remove the zero: 3r = -7t Divide each side by '3'. r = -2.333333333t Simplifying r = -2.333333333tSubproblem 2
Set the factor '(3r + 7t)' equal to zero and attempt to solve: Simplifying 3r + 7t = 0 Solving 3r + 7t = 0 Move all terms containing r to the left, all other terms to the right. Add '-7t' to each side of the equation. 3r + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 3r + 0 = 0 + -7t 3r = 0 + -7t Remove the zero: 3r = -7t Divide each side by '3'. r = -2.333333333t Simplifying r = -2.333333333tSolution
r = {-2.333333333t, -2.333333333t}
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