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Simplifying (x + -4)(x + -1)(x + 3)(2x + -5) = 0 Reorder the terms: (-4 + x)(x + -1)(x + 3)(2x + -5) = 0 Reorder the terms: (-4 + x)(-1 + x)(x + 3)(2x + -5) = 0 Reorder the terms: (-4 + x)(-1 + x)(3 + x)(2x + -5) = 0 Reorder the terms: (-4 + x)(-1 + x)(3 + x)(-5 + 2x) = 0 Multiply (-4 + x) * (-1 + x) (-4(-1 + x) + x(-1 + x))(3 + x)(-5 + 2x) = 0 ((-1 * -4 + x * -4) + x(-1 + x))(3 + x)(-5 + 2x) = 0 ((4 + -4x) + x(-1 + x))(3 + x)(-5 + 2x) = 0 (4 + -4x + (-1 * x + x * x))(3 + x)(-5 + 2x) = 0 (4 + -4x + (-1x + x2))(3 + x)(-5 + 2x) = 0 Combine like terms: -4x + -1x = -5x (4 + -5x + x2)(3 + x)(-5 + 2x) = 0 Multiply (4 + -5x + x2) * (3 + x) (4(3 + x) + -5x * (3 + x) + x2(3 + x))(-5 + 2x) = 0 ((3 * 4 + x * 4) + -5x * (3 + x) + x2(3 + x))(-5 + 2x) = 0 ((12 + 4x) + -5x * (3 + x) + x2(3 + x))(-5 + 2x) = 0 (12 + 4x + (3 * -5x + x * -5x) + x2(3 + x))(-5 + 2x) = 0 (12 + 4x + (-15x + -5x2) + x2(3 + x))(-5 + 2x) = 0 (12 + 4x + -15x + -5x2 + (3 * x2 + x * x2))(-5 + 2x) = 0 (12 + 4x + -15x + -5x2 + (3x2 + x3))(-5 + 2x) = 0 Combine like terms: 4x + -15x = -11x (12 + -11x + -5x2 + 3x2 + x3)(-5 + 2x) = 0 Combine like terms: -5x2 + 3x2 = -2x2 (12 + -11x + -2x2 + x3)(-5 + 2x) = 0 Multiply (12 + -11x + -2x2 + x3) * (-5 + 2x) (12(-5 + 2x) + -11x * (-5 + 2x) + -2x2 * (-5 + 2x) + x3(-5 + 2x)) = 0 ((-5 * 12 + 2x * 12) + -11x * (-5 + 2x) + -2x2 * (-5 + 2x) + x3(-5 + 2x)) = 0 ((-60 + 24x) + -11x * (-5 + 2x) + -2x2 * (-5 + 2x) + x3(-5 + 2x)) = 0 (-60 + 24x + (-5 * -11x + 2x * -11x) + -2x2 * (-5 + 2x) + x3(-5 + 2x)) = 0 (-60 + 24x + (55x + -22x2) + -2x2 * (-5 + 2x) + x3(-5 + 2x)) = 0 (-60 + 24x + 55x + -22x2 + (-5 * -2x2 + 2x * -2x2) + x3(-5 + 2x)) = 0 (-60 + 24x + 55x + -22x2 + (10x2 + -4x3) + x3(-5 + 2x)) = 0 (-60 + 24x + 55x + -22x2 + 10x2 + -4x3 + (-5 * x3 + 2x * x3)) = 0 (-60 + 24x + 55x + -22x2 + 10x2 + -4x3 + (-5x3 + 2x4)) = 0 Combine like terms: 24x + 55x = 79x (-60 + 79x + -22x2 + 10x2 + -4x3 + -5x3 + 2x4) = 0 Combine like terms: -22x2 + 10x2 = -12x2 (-60 + 79x + -12x2 + -4x3 + -5x3 + 2x4) = 0 Combine like terms: -4x3 + -5x3 = -9x3 (-60 + 79x + -12x2 + -9x3 + 2x4) = 0 Solving -60 + 79x + -12x2 + -9x3 + 2x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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