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Simplifying (3r2 + 11r + -8)(12r2 + -7r + 7)(r + -3) = 0 Reorder the terms: (-8 + 11r + 3r2)(12r2 + -7r + 7)(r + -3) = 0 Reorder the terms: (-8 + 11r + 3r2)(7 + -7r + 12r2)(r + -3) = 0 Reorder the terms: (-8 + 11r + 3r2)(7 + -7r + 12r2)(-3 + r) = 0 Multiply (-8 + 11r + 3r2) * (7 + -7r + 12r2) (-8(7 + -7r + 12r2) + 11r * (7 + -7r + 12r2) + 3r2 * (7 + -7r + 12r2))(-3 + r) = 0 ((7 * -8 + -7r * -8 + 12r2 * -8) + 11r * (7 + -7r + 12r2) + 3r2 * (7 + -7r + 12r2))(-3 + r) = 0 ((-56 + 56r + -96r2) + 11r * (7 + -7r + 12r2) + 3r2 * (7 + -7r + 12r2))(-3 + r) = 0 (-56 + 56r + -96r2 + (7 * 11r + -7r * 11r + 12r2 * 11r) + 3r2 * (7 + -7r + 12r2))(-3 + r) = 0 (-56 + 56r + -96r2 + (77r + -77r2 + 132r3) + 3r2 * (7 + -7r + 12r2))(-3 + r) = 0 (-56 + 56r + -96r2 + 77r + -77r2 + 132r3 + (7 * 3r2 + -7r * 3r2 + 12r2 * 3r2))(-3 + r) = 0 (-56 + 56r + -96r2 + 77r + -77r2 + 132r3 + (21r2 + -21r3 + 36r4))(-3 + r) = 0 Reorder the terms: (-56 + 56r + 77r + -96r2 + -77r2 + 21r2 + 132r3 + -21r3 + 36r4)(-3 + r) = 0 Combine like terms: 56r + 77r = 133r (-56 + 133r + -96r2 + -77r2 + 21r2 + 132r3 + -21r3 + 36r4)(-3 + r) = 0 Combine like terms: -96r2 + -77r2 = -173r2 (-56 + 133r + -173r2 + 21r2 + 132r3 + -21r3 + 36r4)(-3 + r) = 0 Combine like terms: -173r2 + 21r2 = -152r2 (-56 + 133r + -152r2 + 132r3 + -21r3 + 36r4)(-3 + r) = 0 Combine like terms: 132r3 + -21r3 = 111r3 (-56 + 133r + -152r2 + 111r3 + 36r4)(-3 + r) = 0 Multiply (-56 + 133r + -152r2 + 111r3 + 36r4) * (-3 + r) (-56(-3 + r) + 133r * (-3 + r) + -152r2 * (-3 + r) + 111r3 * (-3 + r) + 36r4 * (-3 + r)) = 0 ((-3 * -56 + r * -56) + 133r * (-3 + r) + -152r2 * (-3 + r) + 111r3 * (-3 + r) + 36r4 * (-3 + r)) = 0 ((168 + -56r) + 133r * (-3 + r) + -152r2 * (-3 + r) + 111r3 * (-3 + r) + 36r4 * (-3 + r)) = 0 (168 + -56r + (-3 * 133r + r * 133r) + -152r2 * (-3 + r) + 111r3 * (-3 + r) + 36r4 * (-3 + r)) = 0 (168 + -56r + (-399r + 133r2) + -152r2 * (-3 + r) + 111r3 * (-3 + r) + 36r4 * (-3 + r)) = 0 (168 + -56r + -399r + 133r2 + (-3 * -152r2 + r * -152r2) + 111r3 * (-3 + r) + 36r4 * (-3 + r)) = 0 (168 + -56r + -399r + 133r2 + (456r2 + -152r3) + 111r3 * (-3 + r) + 36r4 * (-3 + r)) = 0 (168 + -56r + -399r + 133r2 + 456r2 + -152r3 + (-3 * 111r3 + r * 111r3) + 36r4 * (-3 + r)) = 0 (168 + -56r + -399r + 133r2 + 456r2 + -152r3 + (-333r3 + 111r4) + 36r4 * (-3 + r)) = 0 (168 + -56r + -399r + 133r2 + 456r2 + -152r3 + -333r3 + 111r4 + (-3 * 36r4 + r * 36r4)) = 0 (168 + -56r + -399r + 133r2 + 456r2 + -152r3 + -333r3 + 111r4 + (-108r4 + 36r5)) = 0 Combine like terms: -56r + -399r = -455r (168 + -455r + 133r2 + 456r2 + -152r3 + -333r3 + 111r4 + -108r4 + 36r5) = 0 Combine like terms: 133r2 + 456r2 = 589r2 (168 + -455r + 589r2 + -152r3 + -333r3 + 111r4 + -108r4 + 36r5) = 0 Combine like terms: -152r3 + -333r3 = -485r3 (168 + -455r + 589r2 + -485r3 + 111r4 + -108r4 + 36r5) = 0 Combine like terms: 111r4 + -108r4 = 3r4 (168 + -455r + 589r2 + -485r3 + 3r4 + 36r5) = 0 Solving 168 + -455r + 589r2 + -485r3 + 3r4 + 36r5 = 0 Solving for variable 'r'. The solution to this equation could not be determined.
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