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Simplifying (x + 4)(x + -5)(x + 5)(x + 5) = 0 Reorder the terms: (4 + x)(x + -5)(x + 5)(x + 5) = 0 Reorder the terms: (4 + x)(-5 + x)(x + 5)(x + 5) = 0 Reorder the terms: (4 + x)(-5 + x)(5 + x)(x + 5) = 0 Reorder the terms: (4 + x)(-5 + x)(5 + x)(5 + x) = 0 Multiply (4 + x) * (-5 + x) (4(-5 + x) + x(-5 + x))(5 + x)(5 + x) = 0 ((-5 * 4 + x * 4) + x(-5 + x))(5 + x)(5 + x) = 0 ((-20 + 4x) + x(-5 + x))(5 + x)(5 + x) = 0 (-20 + 4x + (-5 * x + x * x))(5 + x)(5 + x) = 0 (-20 + 4x + (-5x + x2))(5 + x)(5 + x) = 0 Combine like terms: 4x + -5x = -1x (-20 + -1x + x2)(5 + x)(5 + x) = 0 Multiply (-20 + -1x + x2) * (5 + x) (-20(5 + x) + -1x * (5 + x) + x2(5 + x))(5 + x) = 0 ((5 * -20 + x * -20) + -1x * (5 + x) + x2(5 + x))(5 + x) = 0 ((-100 + -20x) + -1x * (5 + x) + x2(5 + x))(5 + x) = 0 (-100 + -20x + (5 * -1x + x * -1x) + x2(5 + x))(5 + x) = 0 (-100 + -20x + (-5x + -1x2) + x2(5 + x))(5 + x) = 0 (-100 + -20x + -5x + -1x2 + (5 * x2 + x * x2))(5 + x) = 0 (-100 + -20x + -5x + -1x2 + (5x2 + x3))(5 + x) = 0 Combine like terms: -20x + -5x = -25x (-100 + -25x + -1x2 + 5x2 + x3)(5 + x) = 0 Combine like terms: -1x2 + 5x2 = 4x2 (-100 + -25x + 4x2 + x3)(5 + x) = 0 Multiply (-100 + -25x + 4x2 + x3) * (5 + x) (-100(5 + x) + -25x * (5 + x) + 4x2 * (5 + x) + x3(5 + x)) = 0 ((5 * -100 + x * -100) + -25x * (5 + x) + 4x2 * (5 + x) + x3(5 + x)) = 0 ((-500 + -100x) + -25x * (5 + x) + 4x2 * (5 + x) + x3(5 + x)) = 0 (-500 + -100x + (5 * -25x + x * -25x) + 4x2 * (5 + x) + x3(5 + x)) = 0 (-500 + -100x + (-125x + -25x2) + 4x2 * (5 + x) + x3(5 + x)) = 0 (-500 + -100x + -125x + -25x2 + (5 * 4x2 + x * 4x2) + x3(5 + x)) = 0 (-500 + -100x + -125x + -25x2 + (20x2 + 4x3) + x3(5 + x)) = 0 (-500 + -100x + -125x + -25x2 + 20x2 + 4x3 + (5 * x3 + x * x3)) = 0 (-500 + -100x + -125x + -25x2 + 20x2 + 4x3 + (5x3 + x4)) = 0 Combine like terms: -100x + -125x = -225x (-500 + -225x + -25x2 + 20x2 + 4x3 + 5x3 + x4) = 0 Combine like terms: -25x2 + 20x2 = -5x2 (-500 + -225x + -5x2 + 4x3 + 5x3 + x4) = 0 Combine like terms: 4x3 + 5x3 = 9x3 (-500 + -225x + -5x2 + 9x3 + x4) = 0 Solving -500 + -225x + -5x2 + 9x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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