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Simplifying 25r2 + 70rt + 49t2 = 0 Reorder the terms: 70rt + 25r2 + 49t2 = 0 Solving 70rt + 25r2 + 49t2 = 0 Solving for variable 'r'. Factor a trinomial. (5r + 7t)(5r + 7t) = 0Subproblem 1
Set the factor '(5r + 7t)' equal to zero and attempt to solve: Simplifying 5r + 7t = 0 Solving 5r + 7t = 0 Move all terms containing r to the left, all other terms to the right. Add '-7t' to each side of the equation. 5r + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 5r + 0 = 0 + -7t 5r = 0 + -7t Remove the zero: 5r = -7t Divide each side by '5'. r = -1.4t Simplifying r = -1.4tSubproblem 2
Set the factor '(5r + 7t)' equal to zero and attempt to solve: Simplifying 5r + 7t = 0 Solving 5r + 7t = 0 Move all terms containing r to the left, all other terms to the right. Add '-7t' to each side of the equation. 5r + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 5r + 0 = 0 + -7t 5r = 0 + -7t Remove the zero: 5r = -7t Divide each side by '5'. r = -1.4t Simplifying r = -1.4tSolution
r = {-1.4t, -1.4t}
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