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Simplifying 7r2 + 26rt + 15t2 = 0 Reorder the terms: 26rt + 7r2 + 15t2 = 0 Solving 26rt + 7r2 + 15t2 = 0 Solving for variable 'r'. Factor a trinomial. (7r + 5t)(r + 3t) = 0Subproblem 1
Set the factor '(7r + 5t)' equal to zero and attempt to solve: Simplifying 7r + 5t = 0 Solving 7r + 5t = 0 Move all terms containing r to the left, all other terms to the right. Add '-5t' to each side of the equation. 7r + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 7r + 0 = 0 + -5t 7r = 0 + -5t Remove the zero: 7r = -5t Divide each side by '7'. r = -0.7142857143t Simplifying r = -0.7142857143tSubproblem 2
Set the factor '(r + 3t)' equal to zero and attempt to solve: Simplifying r + 3t = 0 Solving r + 3t = 0 Move all terms containing r to the left, all other terms to the right. Add '-3t' to each side of the equation. r + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 r + 0 = 0 + -3t r = 0 + -3t Remove the zero: r = -3t Simplifying r = -3tSolution
r = {-0.7142857143t, -3t}
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