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Simplifying (t + -7)(2r2 + 3t + -9) = 0 Reorder the terms: (-7 + t)(2r2 + 3t + -9) = 0 Reorder the terms: (-7 + t)(-9 + 2r2 + 3t) = 0 Multiply (-7 + t) * (-9 + 2r2 + 3t) (-7(-9 + 2r2 + 3t) + t(-9 + 2r2 + 3t)) = 0 ((-9 * -7 + 2r2 * -7 + 3t * -7) + t(-9 + 2r2 + 3t)) = 0 ((63 + -14r2 + -21t) + t(-9 + 2r2 + 3t)) = 0 (63 + -14r2 + -21t + (-9 * t + 2r2 * t + 3t * t)) = 0 Reorder the terms: (63 + -14r2 + -21t + (2r2t + -9t + 3t2)) = 0 (63 + -14r2 + -21t + (2r2t + -9t + 3t2)) = 0 Reorder the terms: (63 + -14r2 + 2r2t + -21t + -9t + 3t2) = 0 Combine like terms: -21t + -9t = -30t (63 + -14r2 + 2r2t + -30t + 3t2) = 0 Solving 63 + -14r2 + 2r2t + -30t + 3t2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -14r2 + 2r2t + -30t + -63 + 3t2 = 0 + -63 Reorder the terms: 63 + -63 + -14r2 + 2r2t + -30t + 3t2 = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -14r2 + 2r2t + -30t + 3t2 = 0 + -63 -14r2 + 2r2t + -30t + 3t2 = 0 + -63 Combine like terms: 0 + -63 = -63 -14r2 + 2r2t + -30t + 3t2 = -63 Add '30t' to each side of the equation. -14r2 + 2r2t + -30t + 30t + 3t2 = -63 + 30t Combine like terms: -30t + 30t = 0 -14r2 + 2r2t + 0 + 3t2 = -63 + 30t -14r2 + 2r2t + 3t2 = -63 + 30t Add '-3t2' to each side of the equation. -14r2 + 2r2t + 3t2 + -3t2 = -63 + 30t + -3t2 Combine like terms: 3t2 + -3t2 = 0 -14r2 + 2r2t + 0 = -63 + 30t + -3t2 -14r2 + 2r2t = -63 + 30t + -3t2 Reorder the terms: 63 + -14r2 + 2r2t + -30t + 3t2 = -63 + 30t + -3t2 + 63 + -30t + 3t2 Reorder the terms: 63 + -14r2 + 2r2t + -30t + 3t2 = -63 + 63 + 30t + -30t + -3t2 + 3t2 Combine like terms: -63 + 63 = 0 63 + -14r2 + 2r2t + -30t + 3t2 = 0 + 30t + -30t + -3t2 + 3t2 63 + -14r2 + 2r2t + -30t + 3t2 = 30t + -30t + -3t2 + 3t2 Combine like terms: 30t + -30t = 0 63 + -14r2 + 2r2t + -30t + 3t2 = 0 + -3t2 + 3t2 63 + -14r2 + 2r2t + -30t + 3t2 = -3t2 + 3t2 Combine like terms: -3t2 + 3t2 = 0 63 + -14r2 + 2r2t + -30t + 3t2 = 0 The solution to this equation could not be determined.
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