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Simplifying (x + 2)(x + 3)(x + -4)(x + -5) = 44 Reorder the terms: (2 + x)(x + 3)(x + -4)(x + -5) = 44 Reorder the terms: (2 + x)(3 + x)(x + -4)(x + -5) = 44 Reorder the terms: (2 + x)(3 + x)(-4 + x)(x + -5) = 44 Reorder the terms: (2 + x)(3 + x)(-4 + x)(-5 + x) = 44 Multiply (2 + x) * (3 + x) (2(3 + x) + x(3 + x))(-4 + x)(-5 + x) = 44 ((3 * 2 + x * 2) + x(3 + x))(-4 + x)(-5 + x) = 44 ((6 + 2x) + x(3 + x))(-4 + x)(-5 + x) = 44 (6 + 2x + (3 * x + x * x))(-4 + x)(-5 + x) = 44 (6 + 2x + (3x + x2))(-4 + x)(-5 + x) = 44 Combine like terms: 2x + 3x = 5x (6 + 5x + x2)(-4 + x)(-5 + x) = 44 Multiply (6 + 5x + x2) * (-4 + x) (6(-4 + x) + 5x * (-4 + x) + x2(-4 + x))(-5 + x) = 44 ((-4 * 6 + x * 6) + 5x * (-4 + x) + x2(-4 + x))(-5 + x) = 44 ((-24 + 6x) + 5x * (-4 + x) + x2(-4 + x))(-5 + x) = 44 (-24 + 6x + (-4 * 5x + x * 5x) + x2(-4 + x))(-5 + x) = 44 (-24 + 6x + (-20x + 5x2) + x2(-4 + x))(-5 + x) = 44 (-24 + 6x + -20x + 5x2 + (-4 * x2 + x * x2))(-5 + x) = 44 (-24 + 6x + -20x + 5x2 + (-4x2 + x3))(-5 + x) = 44 Combine like terms: 6x + -20x = -14x (-24 + -14x + 5x2 + -4x2 + x3)(-5 + x) = 44 Combine like terms: 5x2 + -4x2 = 1x2 (-24 + -14x + 1x2 + x3)(-5 + x) = 44 Multiply (-24 + -14x + 1x2 + x3) * (-5 + x) (-24(-5 + x) + -14x * (-5 + x) + 1x2 * (-5 + x) + x3(-5 + x)) = 44 ((-5 * -24 + x * -24) + -14x * (-5 + x) + 1x2 * (-5 + x) + x3(-5 + x)) = 44 ((120 + -24x) + -14x * (-5 + x) + 1x2 * (-5 + x) + x3(-5 + x)) = 44 (120 + -24x + (-5 * -14x + x * -14x) + 1x2 * (-5 + x) + x3(-5 + x)) = 44 (120 + -24x + (70x + -14x2) + 1x2 * (-5 + x) + x3(-5 + x)) = 44 (120 + -24x + 70x + -14x2 + (-5 * 1x2 + x * 1x2) + x3(-5 + x)) = 44 (120 + -24x + 70x + -14x2 + (-5x2 + 1x3) + x3(-5 + x)) = 44 (120 + -24x + 70x + -14x2 + -5x2 + 1x3 + (-5 * x3 + x * x3)) = 44 (120 + -24x + 70x + -14x2 + -5x2 + 1x3 + (-5x3 + x4)) = 44 Combine like terms: -24x + 70x = 46x (120 + 46x + -14x2 + -5x2 + 1x3 + -5x3 + x4) = 44 Combine like terms: -14x2 + -5x2 = -19x2 (120 + 46x + -19x2 + 1x3 + -5x3 + x4) = 44 Combine like terms: 1x3 + -5x3 = -4x3 (120 + 46x + -19x2 + -4x3 + x4) = 44 Solving 120 + 46x + -19x2 + -4x3 + x4 = 44 Solving for variable 'x'. Reorder the terms: 120 + -44 + 46x + -19x2 + -4x3 + x4 = 44 + -44 Combine like terms: 120 + -44 = 76 76 + 46x + -19x2 + -4x3 + x4 = 44 + -44 Combine like terms: 44 + -44 = 0 76 + 46x + -19x2 + -4x3 + x4 = 0 The solution to this equation could not be determined.
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