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Simplifying (3t + -1r)(3t + r) = 17 Reorder the terms: (-1r + 3t)(3t + r) = 17 Reorder the terms: (-1r + 3t)(r + 3t) = 17 Multiply (-1r + 3t) * (r + 3t) (-1r * (r + 3t) + 3t * (r + 3t)) = 17 ((r * -1r + 3t * -1r) + 3t * (r + 3t)) = 17 Reorder the terms: ((-3rt + -1r2) + 3t * (r + 3t)) = 17 ((-3rt + -1r2) + 3t * (r + 3t)) = 17 (-3rt + -1r2 + (r * 3t + 3t * 3t)) = 17 (-3rt + -1r2 + (3rt + 9t2)) = 17 Reorder the terms: (-3rt + 3rt + -1r2 + 9t2) = 17 Combine like terms: -3rt + 3rt = 0 (0 + -1r2 + 9t2) = 17 (-1r2 + 9t2) = 17 Solving -1r2 + 9t2 = 17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9t2' to each side of the equation. -1r2 + 9t2 + -9t2 = 17 + -9t2 Combine like terms: 9t2 + -9t2 = 0 -1r2 + 0 = 17 + -9t2 -1r2 = 17 + -9t2 Divide each side by '-1'. r2 = -17 + 9t2 Simplifying r2 = -17 + 9t2 Reorder the terms: 17 + r2 + -9t2 = -17 + 9t2 + 17 + -9t2 Reorder the terms: 17 + r2 + -9t2 = -17 + 17 + 9t2 + -9t2 Combine like terms: -17 + 17 = 0 17 + r2 + -9t2 = 0 + 9t2 + -9t2 17 + r2 + -9t2 = 9t2 + -9t2 Combine like terms: 9t2 + -9t2 = 0 17 + r2 + -9t2 = 0 The solution to this equation could not be determined.
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