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Simplifying (4r2 + 25)(2r2 + 5)(2r2 + -5) = 0 Reorder the terms: (25 + 4r2)(2r2 + 5)(2r2 + -5) = 0 Reorder the terms: (25 + 4r2)(5 + 2r2)(2r2 + -5) = 0 Reorder the terms: (25 + 4r2)(5 + 2r2)(-5 + 2r2) = 0 Multiply (25 + 4r2) * (5 + 2r2) (25(5 + 2r2) + 4r2 * (5 + 2r2))(-5 + 2r2) = 0 ((5 * 25 + 2r2 * 25) + 4r2 * (5 + 2r2))(-5 + 2r2) = 0 ((125 + 50r2) + 4r2 * (5 + 2r2))(-5 + 2r2) = 0 (125 + 50r2 + (5 * 4r2 + 2r2 * 4r2))(-5 + 2r2) = 0 (125 + 50r2 + (20r2 + 8r4))(-5 + 2r2) = 0 Combine like terms: 50r2 + 20r2 = 70r2 (125 + 70r2 + 8r4)(-5 + 2r2) = 0 Multiply (125 + 70r2 + 8r4) * (-5 + 2r2) (125(-5 + 2r2) + 70r2 * (-5 + 2r2) + 8r4 * (-5 + 2r2)) = 0 ((-5 * 125 + 2r2 * 125) + 70r2 * (-5 + 2r2) + 8r4 * (-5 + 2r2)) = 0 ((-625 + 250r2) + 70r2 * (-5 + 2r2) + 8r4 * (-5 + 2r2)) = 0 (-625 + 250r2 + (-5 * 70r2 + 2r2 * 70r2) + 8r4 * (-5 + 2r2)) = 0 (-625 + 250r2 + (-350r2 + 140r4) + 8r4 * (-5 + 2r2)) = 0 (-625 + 250r2 + -350r2 + 140r4 + (-5 * 8r4 + 2r2 * 8r4)) = 0 (-625 + 250r2 + -350r2 + 140r4 + (-40r4 + 16r6)) = 0 Combine like terms: 250r2 + -350r2 = -100r2 (-625 + -100r2 + 140r4 + -40r4 + 16r6) = 0 Combine like terms: 140r4 + -40r4 = 100r4 (-625 + -100r2 + 100r4 + 16r6) = 0 Solving -625 + -100r2 + 100r4 + 16r6 = 0 Solving for variable 'r'. The solution to this equation could not be determined.
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