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Simplifying 0 = (2x + -1)(x + 4)(2x + -1)(x + 1) Reorder the terms: 0 = (-1 + 2x)(x + 4)(2x + -1)(x + 1) Reorder the terms: 0 = (-1 + 2x)(4 + x)(2x + -1)(x + 1) Reorder the terms: 0 = (-1 + 2x)(4 + x)(-1 + 2x)(x + 1) Reorder the terms: 0 = (-1 + 2x)(4 + x)(-1 + 2x)(1 + x) Multiply (-1 + 2x) * (4 + x) 0 = (-1(4 + x) + 2x * (4 + x))(-1 + 2x)(1 + x) 0 = ((4 * -1 + x * -1) + 2x * (4 + x))(-1 + 2x)(1 + x) 0 = ((-4 + -1x) + 2x * (4 + x))(-1 + 2x)(1 + x) 0 = (-4 + -1x + (4 * 2x + x * 2x))(-1 + 2x)(1 + x) 0 = (-4 + -1x + (8x + 2x2))(-1 + 2x)(1 + x) Combine like terms: -1x + 8x = 7x 0 = (-4 + 7x + 2x2)(-1 + 2x)(1 + x) Multiply (-4 + 7x + 2x2) * (-1 + 2x) 0 = (-4(-1 + 2x) + 7x * (-1 + 2x) + 2x2 * (-1 + 2x))(1 + x) 0 = ((-1 * -4 + 2x * -4) + 7x * (-1 + 2x) + 2x2 * (-1 + 2x))(1 + x) 0 = ((4 + -8x) + 7x * (-1 + 2x) + 2x2 * (-1 + 2x))(1 + x) 0 = (4 + -8x + (-1 * 7x + 2x * 7x) + 2x2 * (-1 + 2x))(1 + x) 0 = (4 + -8x + (-7x + 14x2) + 2x2 * (-1 + 2x))(1 + x) 0 = (4 + -8x + -7x + 14x2 + (-1 * 2x2 + 2x * 2x2))(1 + x) 0 = (4 + -8x + -7x + 14x2 + (-2x2 + 4x3))(1 + x) Combine like terms: -8x + -7x = -15x 0 = (4 + -15x + 14x2 + -2x2 + 4x3)(1 + x) Combine like terms: 14x2 + -2x2 = 12x2 0 = (4 + -15x + 12x2 + 4x3)(1 + x) Multiply (4 + -15x + 12x2 + 4x3) * (1 + x) 0 = (4(1 + x) + -15x * (1 + x) + 12x2 * (1 + x) + 4x3 * (1 + x)) 0 = ((1 * 4 + x * 4) + -15x * (1 + x) + 12x2 * (1 + x) + 4x3 * (1 + x)) 0 = ((4 + 4x) + -15x * (1 + x) + 12x2 * (1 + x) + 4x3 * (1 + x)) 0 = (4 + 4x + (1 * -15x + x * -15x) + 12x2 * (1 + x) + 4x3 * (1 + x)) 0 = (4 + 4x + (-15x + -15x2) + 12x2 * (1 + x) + 4x3 * (1 + x)) 0 = (4 + 4x + -15x + -15x2 + (1 * 12x2 + x * 12x2) + 4x3 * (1 + x)) 0 = (4 + 4x + -15x + -15x2 + (12x2 + 12x3) + 4x3 * (1 + x)) 0 = (4 + 4x + -15x + -15x2 + 12x2 + 12x3 + (1 * 4x3 + x * 4x3)) 0 = (4 + 4x + -15x + -15x2 + 12x2 + 12x3 + (4x3 + 4x4)) Combine like terms: 4x + -15x = -11x 0 = (4 + -11x + -15x2 + 12x2 + 12x3 + 4x3 + 4x4) Combine like terms: -15x2 + 12x2 = -3x2 0 = (4 + -11x + -3x2 + 12x3 + 4x3 + 4x4) Combine like terms: 12x3 + 4x3 = 16x3 0 = (4 + -11x + -3x2 + 16x3 + 4x4) Solving 0 = 4 + -11x + -3x2 + 16x3 + 4x4 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + 11x + 3x2 + -16x3 + -4x4 = 4 + -11x + -3x2 + 16x3 + 4x4 + -4 + 11x + 3x2 + -16x3 + -4x4 Reorder the terms: -4 + 11x + 3x2 + -16x3 + -4x4 = 4 + -4 + -11x + 11x + -3x2 + 3x2 + 16x3 + -16x3 + 4x4 + -4x4 Combine like terms: 4 + -4 = 0 -4 + 11x + 3x2 + -16x3 + -4x4 = 0 + -11x + 11x + -3x2 + 3x2 + 16x3 + -16x3 + 4x4 + -4x4 -4 + 11x + 3x2 + -16x3 + -4x4 = -11x + 11x + -3x2 + 3x2 + 16x3 + -16x3 + 4x4 + -4x4 Combine like terms: -11x + 11x = 0 -4 + 11x + 3x2 + -16x3 + -4x4 = 0 + -3x2 + 3x2 + 16x3 + -16x3 + 4x4 + -4x4 -4 + 11x + 3x2 + -16x3 + -4x4 = -3x2 + 3x2 + 16x3 + -16x3 + 4x4 + -4x4 Combine like terms: -3x2 + 3x2 = 0 -4 + 11x + 3x2 + -16x3 + -4x4 = 0 + 16x3 + -16x3 + 4x4 + -4x4 -4 + 11x + 3x2 + -16x3 + -4x4 = 16x3 + -16x3 + 4x4 + -4x4 Combine like terms: 16x3 + -16x3 = 0 -4 + 11x + 3x2 + -16x3 + -4x4 = 0 + 4x4 + -4x4 -4 + 11x + 3x2 + -16x3 + -4x4 = 4x4 + -4x4 Combine like terms: 4x4 + -4x4 = 0 -4 + 11x + 3x2 + -16x3 + -4x4 = 0 The solution to this equation could not be determined.
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