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Simplifying (x + 1)(x + 2)(x + -3)(x + -4) = 36 Reorder the terms: (1 + x)(x + 2)(x + -3)(x + -4) = 36 Reorder the terms: (1 + x)(2 + x)(x + -3)(x + -4) = 36 Reorder the terms: (1 + x)(2 + x)(-3 + x)(x + -4) = 36 Reorder the terms: (1 + x)(2 + x)(-3 + x)(-4 + x) = 36 Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x))(-3 + x)(-4 + x) = 36 ((2 * 1 + x * 1) + x(2 + x))(-3 + x)(-4 + x) = 36 ((2 + 1x) + x(2 + x))(-3 + x)(-4 + x) = 36 (2 + 1x + (2 * x + x * x))(-3 + x)(-4 + x) = 36 (2 + 1x + (2x + x2))(-3 + x)(-4 + x) = 36 Combine like terms: 1x + 2x = 3x (2 + 3x + x2)(-3 + x)(-4 + x) = 36 Multiply (2 + 3x + x2) * (-3 + x) (2(-3 + x) + 3x * (-3 + x) + x2(-3 + x))(-4 + x) = 36 ((-3 * 2 + x * 2) + 3x * (-3 + x) + x2(-3 + x))(-4 + x) = 36 ((-6 + 2x) + 3x * (-3 + x) + x2(-3 + x))(-4 + x) = 36 (-6 + 2x + (-3 * 3x + x * 3x) + x2(-3 + x))(-4 + x) = 36 (-6 + 2x + (-9x + 3x2) + x2(-3 + x))(-4 + x) = 36 (-6 + 2x + -9x + 3x2 + (-3 * x2 + x * x2))(-4 + x) = 36 (-6 + 2x + -9x + 3x2 + (-3x2 + x3))(-4 + x) = 36 Combine like terms: 2x + -9x = -7x (-6 + -7x + 3x2 + -3x2 + x3)(-4 + x) = 36 Combine like terms: 3x2 + -3x2 = 0 (-6 + -7x + 0 + x3)(-4 + x) = 36 (-6 + -7x + x3)(-4 + x) = 36 Multiply (-6 + -7x + x3) * (-4 + x) (-6(-4 + x) + -7x * (-4 + x) + x3(-4 + x)) = 36 ((-4 * -6 + x * -6) + -7x * (-4 + x) + x3(-4 + x)) = 36 ((24 + -6x) + -7x * (-4 + x) + x3(-4 + x)) = 36 (24 + -6x + (-4 * -7x + x * -7x) + x3(-4 + x)) = 36 (24 + -6x + (28x + -7x2) + x3(-4 + x)) = 36 (24 + -6x + 28x + -7x2 + (-4 * x3 + x * x3)) = 36 (24 + -6x + 28x + -7x2 + (-4x3 + x4)) = 36 Combine like terms: -6x + 28x = 22x (24 + 22x + -7x2 + -4x3 + x4) = 36 Solving 24 + 22x + -7x2 + -4x3 + x4 = 36 Solving for variable 'x'. Reorder the terms: 24 + -36 + 22x + -7x2 + -4x3 + x4 = 36 + -36 Combine like terms: 24 + -36 = -12 -12 + 22x + -7x2 + -4x3 + x4 = 36 + -36 Combine like terms: 36 + -36 = 0 -12 + 22x + -7x2 + -4x3 + x4 = 0 The solution to this equation could not be determined.
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