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Simplifying (x + -2.5)(x + -4)(x + -5)(x + -5)(x * x + 1) = 0 Reorder the terms: (-2.5 + x)(x + -4)(x + -5)(x + -5)(x * x + 1) = 0 Reorder the terms: (-2.5 + x)(-4 + x)(x + -5)(x + -5)(x * x + 1) = 0 Reorder the terms: (-2.5 + x)(-4 + x)(-5 + x)(x + -5)(x * x + 1) = 0 Reorder the terms: (-2.5 + x)(-4 + x)(-5 + x)(-5 + x)(x * x + 1) = 0 Multiply x * x (-2.5 + x)(-4 + x)(-5 + x)(-5 + x)(x2 + 1) = 0 Reorder the terms: (-2.5 + x)(-4 + x)(-5 + x)(-5 + x)(1 + x2) = 0 Multiply (-2.5 + x) * (-4 + x) (-2.5(-4 + x) + x(-4 + x))(-5 + x)(-5 + x)(1 + x2) = 0 ((-4 * -2.5 + x * -2.5) + x(-4 + x))(-5 + x)(-5 + x)(1 + x2) = 0 ((10 + -2.5x) + x(-4 + x))(-5 + x)(-5 + x)(1 + x2) = 0 (10 + -2.5x + (-4 * x + x * x))(-5 + x)(-5 + x)(1 + x2) = 0 (10 + -2.5x + (-4x + x2))(-5 + x)(-5 + x)(1 + x2) = 0 Combine like terms: -2.5x + -4x = -6.5x (10 + -6.5x + x2)(-5 + x)(-5 + x)(1 + x2) = 0 Multiply (10 + -6.5x + x2) * (-5 + x) (10(-5 + x) + -6.5x * (-5 + x) + x2(-5 + x))(-5 + x)(1 + x2) = 0 ((-5 * 10 + x * 10) + -6.5x * (-5 + x) + x2(-5 + x))(-5 + x)(1 + x2) = 0 ((-50 + 10x) + -6.5x * (-5 + x) + x2(-5 + x))(-5 + x)(1 + x2) = 0 (-50 + 10x + (-5 * -6.5x + x * -6.5x) + x2(-5 + x))(-5 + x)(1 + x2) = 0 (-50 + 10x + (32.5x + -6.5x2) + x2(-5 + x))(-5 + x)(1 + x2) = 0 (-50 + 10x + 32.5x + -6.5x2 + (-5 * x2 + x * x2))(-5 + x)(1 + x2) = 0 (-50 + 10x + 32.5x + -6.5x2 + (-5x2 + x3))(-5 + x)(1 + x2) = 0 Combine like terms: 10x + 32.5x = 42.5x (-50 + 42.5x + -6.5x2 + -5x2 + x3)(-5 + x)(1 + x2) = 0 Combine like terms: -6.5x2 + -5x2 = -11.5x2 (-50 + 42.5x + -11.5x2 + x3)(-5 + x)(1 + x2) = 0 Multiply (-50 + 42.5x + -11.5x2 + x3) * (-5 + x) (-50(-5 + x) + 42.5x * (-5 + x) + -11.5x2 * (-5 + x) + x3(-5 + x))(1 + x2) = 0 ((-5 * -50 + x * -50) + 42.5x * (-5 + x) + -11.5x2 * (-5 + x) + x3(-5 + x))(1 + x2) = 0 ((250 + -50x) + 42.5x * (-5 + x) + -11.5x2 * (-5 + x) + x3(-5 + x))(1 + x2) = 0 (250 + -50x + (-5 * 42.5x + x * 42.5x) + -11.5x2 * (-5 + x) + x3(-5 + x))(1 + x2) = 0 (250 + -50x + (-212.5x + 42.5x2) + -11.5x2 * (-5 + x) + x3(-5 + x))(1 + x2) = 0 (250 + -50x + -212.5x + 42.5x2 + (-5 * -11.5x2 + x * -11.5x2) + x3(-5 + x))(1 + x2) = 0 (250 + -50x + -212.5x + 42.5x2 + (57.5x2 + -11.5x3) + x3(-5 + x))(1 + x2) = 0 (250 + -50x + -212.5x + 42.5x2 + 57.5x2 + -11.5x3 + (-5 * x3 + x * x3))(1 + x2) = 0 (250 + -50x + -212.5x + 42.5x2 + 57.5x2 + -11.5x3 + (-5x3 + x4))(1 + x2) = 0 Combine like terms: -50x + -212.5x = -262.5x (250 + -262.5x + 42.5x2 + 57.5x2 + -11.5x3 + -5x3 + x4)(1 + x2) = 0 Combine like terms: 42.5x2 + 57.5x2 = 100x2 (250 + -262.5x + 100x2 + -11.5x3 + -5x3 + x4)(1 + x2) = 0 Combine like terms: -11.5x3 + -5x3 = -16.5x3 (250 + -262.5x + 100x2 + -16.5x3 + x4)(1 + x2) = 0 Multiply (250 + -262.5x + 100x2 + -16.5x3 + x4) * (1 + x2) (250(1 + x2) + -262.5x * (1 + x2) + 100x2 * (1 + x2) + -16.5x3 * (1 + x2) + x4(1 + x2)) = 0 ((1 * 250 + x2 * 250) + -262.5x * (1 + x2) + 100x2 * (1 + x2) + -16.5x3 * (1 + x2) + x4(1 + x2)) = 0 ((250 + 250x2) + -262.5x * (1 + x2) + 100x2 * (1 + x2) + -16.5x3 * (1 + x2) + x4(1 + x2)) = 0 (250 + 250x2 + (1 * -262.5x + x2 * -262.5x) + 100x2 * (1 + x2) + -16.5x3 * (1 + x2) + x4(1 + x2)) = 0 (250 + 250x2 + (-262.5x + -262.5x3) + 100x2 * (1 + x2) + -16.5x3 * (1 + x2) + x4(1 + x2)) = 0 (250 + 250x2 + -262.5x + -262.5x3 + (1 * 100x2 + x2 * 100x2) + -16.5x3 * (1 + x2) + x4(1 + x2)) = 0 (250 + 250x2 + -262.5x + -262.5x3 + (100x2 + 100x4) + -16.5x3 * (1 + x2) + x4(1 + x2)) = 0 (250 + 250x2 + -262.5x + -262.5x3 + 100x2 + 100x4 + (1 * -16.5x3 + x2 * -16.5x3) + x4(1 + x2)) = 0 (250 + 250x2 + -262.5x + -262.5x3 + 100x2 + 100x4 + (-16.5x3 + -16.5x5) + x4(1 + x2)) = 0 (250 + 250x2 + -262.5x + -262.5x3 + 100x2 + 100x4 + -16.5x3 + -16.5x5 + (1 * x4 + x2 * x4)) = 0 (250 + 250x2 + -262.5x + -262.5x3 + 100x2 + 100x4 + -16.5x3 + -16.5x5 + (1x4 + x6)) = 0 Reorder the terms: (250 + -262.5x + 250x2 + 100x2 + -262.5x3 + -16.5x3 + 100x4 + 1x4 + -16.5x5 + x6) = 0 Combine like terms: 250x2 + 100x2 = 350x2 (250 + -262.5x + 350x2 + -262.5x3 + -16.5x3 + 100x4 + 1x4 + -16.5x5 + x6) = 0 Combine like terms: -262.5x3 + -16.5x3 = -279x3 (250 + -262.5x + 350x2 + -279x3 + 100x4 + 1x4 + -16.5x5 + x6) = 0 Combine like terms: 100x4 + 1x4 = 101x4 (250 + -262.5x + 350x2 + -279x3 + 101x4 + -16.5x5 + x6) = 0 Solving 250 + -262.5x + 350x2 + -279x3 + 101x4 + -16.5x5 + x6 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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