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Simplifying (r + -5)(r + 3)(r + -5)(r + 8) = 0 Reorder the terms: (-5 + r)(r + 3)(r + -5)(r + 8) = 0 Reorder the terms: (-5 + r)(3 + r)(r + -5)(r + 8) = 0 Reorder the terms: (-5 + r)(3 + r)(-5 + r)(r + 8) = 0 Reorder the terms: (-5 + r)(3 + r)(-5 + r)(8 + r) = 0 Multiply (-5 + r) * (3 + r) (-5(3 + r) + r(3 + r))(-5 + r)(8 + r) = 0 ((3 * -5 + r * -5) + r(3 + r))(-5 + r)(8 + r) = 0 ((-15 + -5r) + r(3 + r))(-5 + r)(8 + r) = 0 (-15 + -5r + (3 * r + r * r))(-5 + r)(8 + r) = 0 (-15 + -5r + (3r + r2))(-5 + r)(8 + r) = 0 Combine like terms: -5r + 3r = -2r (-15 + -2r + r2)(-5 + r)(8 + r) = 0 Multiply (-15 + -2r + r2) * (-5 + r) (-15(-5 + r) + -2r * (-5 + r) + r2(-5 + r))(8 + r) = 0 ((-5 * -15 + r * -15) + -2r * (-5 + r) + r2(-5 + r))(8 + r) = 0 ((75 + -15r) + -2r * (-5 + r) + r2(-5 + r))(8 + r) = 0 (75 + -15r + (-5 * -2r + r * -2r) + r2(-5 + r))(8 + r) = 0 (75 + -15r + (10r + -2r2) + r2(-5 + r))(8 + r) = 0 (75 + -15r + 10r + -2r2 + (-5 * r2 + r * r2))(8 + r) = 0 (75 + -15r + 10r + -2r2 + (-5r2 + r3))(8 + r) = 0 Combine like terms: -15r + 10r = -5r (75 + -5r + -2r2 + -5r2 + r3)(8 + r) = 0 Combine like terms: -2r2 + -5r2 = -7r2 (75 + -5r + -7r2 + r3)(8 + r) = 0 Multiply (75 + -5r + -7r2 + r3) * (8 + r) (75(8 + r) + -5r * (8 + r) + -7r2 * (8 + r) + r3(8 + r)) = 0 ((8 * 75 + r * 75) + -5r * (8 + r) + -7r2 * (8 + r) + r3(8 + r)) = 0 ((600 + 75r) + -5r * (8 + r) + -7r2 * (8 + r) + r3(8 + r)) = 0 (600 + 75r + (8 * -5r + r * -5r) + -7r2 * (8 + r) + r3(8 + r)) = 0 (600 + 75r + (-40r + -5r2) + -7r2 * (8 + r) + r3(8 + r)) = 0 (600 + 75r + -40r + -5r2 + (8 * -7r2 + r * -7r2) + r3(8 + r)) = 0 (600 + 75r + -40r + -5r2 + (-56r2 + -7r3) + r3(8 + r)) = 0 (600 + 75r + -40r + -5r2 + -56r2 + -7r3 + (8 * r3 + r * r3)) = 0 (600 + 75r + -40r + -5r2 + -56r2 + -7r3 + (8r3 + r4)) = 0 Combine like terms: 75r + -40r = 35r (600 + 35r + -5r2 + -56r2 + -7r3 + 8r3 + r4) = 0 Combine like terms: -5r2 + -56r2 = -61r2 (600 + 35r + -61r2 + -7r3 + 8r3 + r4) = 0 Combine like terms: -7r3 + 8r3 = 1r3 (600 + 35r + -61r2 + 1r3 + r4) = 0 Solving 600 + 35r + -61r2 + 1r3 + r4 = 0 Solving for variable 'r'. The solution to this equation could not be determined.
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