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Simplifying (x + 1)(x + 2)(x + -3)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(x + 2)(x + -3)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(2 + x)(x + -3)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(2 + x)(-3 + x)(x + 4) + -24 = 0 Reorder the terms: (1 + x)(2 + x)(-3 + x)(4 + x) + -24 = 0 Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x))(-3 + x)(4 + x) + -24 = 0 ((2 * 1 + x * 1) + x(2 + x))(-3 + x)(4 + x) + -24 = 0 ((2 + 1x) + x(2 + x))(-3 + x)(4 + x) + -24 = 0 (2 + 1x + (2 * x + x * x))(-3 + x)(4 + x) + -24 = 0 (2 + 1x + (2x + x2))(-3 + x)(4 + x) + -24 = 0 Combine like terms: 1x + 2x = 3x (2 + 3x + x2)(-3 + x)(4 + x) + -24 = 0 Multiply (2 + 3x + x2) * (-3 + x) (2(-3 + x) + 3x * (-3 + x) + x2(-3 + x))(4 + x) + -24 = 0 ((-3 * 2 + x * 2) + 3x * (-3 + x) + x2(-3 + x))(4 + x) + -24 = 0 ((-6 + 2x) + 3x * (-3 + x) + x2(-3 + x))(4 + x) + -24 = 0 (-6 + 2x + (-3 * 3x + x * 3x) + x2(-3 + x))(4 + x) + -24 = 0 (-6 + 2x + (-9x + 3x2) + x2(-3 + x))(4 + x) + -24 = 0 (-6 + 2x + -9x + 3x2 + (-3 * x2 + x * x2))(4 + x) + -24 = 0 (-6 + 2x + -9x + 3x2 + (-3x2 + x3))(4 + x) + -24 = 0 Combine like terms: 2x + -9x = -7x (-6 + -7x + 3x2 + -3x2 + x3)(4 + x) + -24 = 0 Combine like terms: 3x2 + -3x2 = 0 (-6 + -7x + 0 + x3)(4 + x) + -24 = 0 (-6 + -7x + x3)(4 + x) + -24 = 0 Multiply (-6 + -7x + x3) * (4 + x) (-6(4 + x) + -7x * (4 + x) + x3(4 + x)) + -24 = 0 ((4 * -6 + x * -6) + -7x * (4 + x) + x3(4 + x)) + -24 = 0 ((-24 + -6x) + -7x * (4 + x) + x3(4 + x)) + -24 = 0 (-24 + -6x + (4 * -7x + x * -7x) + x3(4 + x)) + -24 = 0 (-24 + -6x + (-28x + -7x2) + x3(4 + x)) + -24 = 0 (-24 + -6x + -28x + -7x2 + (4 * x3 + x * x3)) + -24 = 0 (-24 + -6x + -28x + -7x2 + (4x3 + x4)) + -24 = 0 Combine like terms: -6x + -28x = -34x (-24 + -34x + -7x2 + 4x3 + x4) + -24 = 0 Reorder the terms: -24 + -24 + -34x + -7x2 + 4x3 + x4 = 0 Combine like terms: -24 + -24 = -48 -48 + -34x + -7x2 + 4x3 + x4 = 0 Solving -48 + -34x + -7x2 + 4x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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