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Simplifying (r + 2)(r + -5)(r + -2)(r + -5) = 0 Reorder the terms: (2 + r)(r + -5)(r + -2)(r + -5) = 0 Reorder the terms: (2 + r)(-5 + r)(r + -2)(r + -5) = 0 Reorder the terms: (2 + r)(-5 + r)(-2 + r)(r + -5) = 0 Reorder the terms: (2 + r)(-5 + r)(-2 + r)(-5 + r) = 0 Multiply (2 + r) * (-5 + r) (2(-5 + r) + r(-5 + r))(-2 + r)(-5 + r) = 0 ((-5 * 2 + r * 2) + r(-5 + r))(-2 + r)(-5 + r) = 0 ((-10 + 2r) + r(-5 + r))(-2 + r)(-5 + r) = 0 (-10 + 2r + (-5 * r + r * r))(-2 + r)(-5 + r) = 0 (-10 + 2r + (-5r + r2))(-2 + r)(-5 + r) = 0 Combine like terms: 2r + -5r = -3r (-10 + -3r + r2)(-2 + r)(-5 + r) = 0 Multiply (-10 + -3r + r2) * (-2 + r) (-10(-2 + r) + -3r * (-2 + r) + r2(-2 + r))(-5 + r) = 0 ((-2 * -10 + r * -10) + -3r * (-2 + r) + r2(-2 + r))(-5 + r) = 0 ((20 + -10r) + -3r * (-2 + r) + r2(-2 + r))(-5 + r) = 0 (20 + -10r + (-2 * -3r + r * -3r) + r2(-2 + r))(-5 + r) = 0 (20 + -10r + (6r + -3r2) + r2(-2 + r))(-5 + r) = 0 (20 + -10r + 6r + -3r2 + (-2 * r2 + r * r2))(-5 + r) = 0 (20 + -10r + 6r + -3r2 + (-2r2 + r3))(-5 + r) = 0 Combine like terms: -10r + 6r = -4r (20 + -4r + -3r2 + -2r2 + r3)(-5 + r) = 0 Combine like terms: -3r2 + -2r2 = -5r2 (20 + -4r + -5r2 + r3)(-5 + r) = 0 Multiply (20 + -4r + -5r2 + r3) * (-5 + r) (20(-5 + r) + -4r * (-5 + r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0 ((-5 * 20 + r * 20) + -4r * (-5 + r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0 ((-100 + 20r) + -4r * (-5 + r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0 (-100 + 20r + (-5 * -4r + r * -4r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0 (-100 + 20r + (20r + -4r2) + -5r2 * (-5 + r) + r3(-5 + r)) = 0 (-100 + 20r + 20r + -4r2 + (-5 * -5r2 + r * -5r2) + r3(-5 + r)) = 0 (-100 + 20r + 20r + -4r2 + (25r2 + -5r3) + r3(-5 + r)) = 0 (-100 + 20r + 20r + -4r2 + 25r2 + -5r3 + (-5 * r3 + r * r3)) = 0 (-100 + 20r + 20r + -4r2 + 25r2 + -5r3 + (-5r3 + r4)) = 0 Combine like terms: 20r + 20r = 40r (-100 + 40r + -4r2 + 25r2 + -5r3 + -5r3 + r4) = 0 Combine like terms: -4r2 + 25r2 = 21r2 (-100 + 40r + 21r2 + -5r3 + -5r3 + r4) = 0 Combine like terms: -5r3 + -5r3 = -10r3 (-100 + 40r + 21r2 + -10r3 + r4) = 0 Solving -100 + 40r + 21r2 + -10r3 + r4 = 0 Solving for variable 'r'. The solution to this equation could not be determined.
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