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Simplifying 41 = (x + 4)(x + 5)(x2 + -3x)(3x + -3) Reorder the terms: 41 = (4 + x)(x + 5)(x2 + -3x)(3x + -3) Reorder the terms: 41 = (4 + x)(5 + x)(x2 + -3x)(3x + -3) Reorder the terms: 41 = (4 + x)(5 + x)(-3x + x2)(3x + -3) Reorder the terms: 41 = (4 + x)(5 + x)(-3x + x2)(-3 + 3x) Multiply (4 + x) * (5 + x) 41 = (4(5 + x) + x(5 + x))(-3x + x2)(-3 + 3x) 41 = ((5 * 4 + x * 4) + x(5 + x))(-3x + x2)(-3 + 3x) 41 = ((20 + 4x) + x(5 + x))(-3x + x2)(-3 + 3x) 41 = (20 + 4x + (5 * x + x * x))(-3x + x2)(-3 + 3x) 41 = (20 + 4x + (5x + x2))(-3x + x2)(-3 + 3x) Combine like terms: 4x + 5x = 9x 41 = (20 + 9x + x2)(-3x + x2)(-3 + 3x) Multiply (20 + 9x + x2) * (-3x + x2) 41 = (20(-3x + x2) + 9x * (-3x + x2) + x2(-3x + x2))(-3 + 3x) 41 = ((-3x * 20 + x2 * 20) + 9x * (-3x + x2) + x2(-3x + x2))(-3 + 3x) 41 = ((-60x + 20x2) + 9x * (-3x + x2) + x2(-3x + x2))(-3 + 3x) 41 = (-60x + 20x2 + (-3x * 9x + x2 * 9x) + x2(-3x + x2))(-3 + 3x) 41 = (-60x + 20x2 + (-27x2 + 9x3) + x2(-3x + x2))(-3 + 3x) 41 = (-60x + 20x2 + -27x2 + 9x3 + (-3x * x2 + x2 * x2))(-3 + 3x) 41 = (-60x + 20x2 + -27x2 + 9x3 + (-3x3 + x4))(-3 + 3x) Combine like terms: 20x2 + -27x2 = -7x2 41 = (-60x + -7x2 + 9x3 + -3x3 + x4)(-3 + 3x) Combine like terms: 9x3 + -3x3 = 6x3 41 = (-60x + -7x2 + 6x3 + x4)(-3 + 3x) Multiply (-60x + -7x2 + 6x3 + x4) * (-3 + 3x) 41 = (-60x * (-3 + 3x) + -7x2 * (-3 + 3x) + 6x3 * (-3 + 3x) + x4(-3 + 3x)) 41 = ((-3 * -60x + 3x * -60x) + -7x2 * (-3 + 3x) + 6x3 * (-3 + 3x) + x4(-3 + 3x)) 41 = ((180x + -180x2) + -7x2 * (-3 + 3x) + 6x3 * (-3 + 3x) + x4(-3 + 3x)) 41 = (180x + -180x2 + (-3 * -7x2 + 3x * -7x2) + 6x3 * (-3 + 3x) + x4(-3 + 3x)) 41 = (180x + -180x2 + (21x2 + -21x3) + 6x3 * (-3 + 3x) + x4(-3 + 3x)) 41 = (180x + -180x2 + 21x2 + -21x3 + (-3 * 6x3 + 3x * 6x3) + x4(-3 + 3x)) 41 = (180x + -180x2 + 21x2 + -21x3 + (-18x3 + 18x4) + x4(-3 + 3x)) 41 = (180x + -180x2 + 21x2 + -21x3 + -18x3 + 18x4 + (-3 * x4 + 3x * x4)) 41 = (180x + -180x2 + 21x2 + -21x3 + -18x3 + 18x4 + (-3x4 + 3x5)) Combine like terms: -180x2 + 21x2 = -159x2 41 = (180x + -159x2 + -21x3 + -18x3 + 18x4 + -3x4 + 3x5) Combine like terms: -21x3 + -18x3 = -39x3 41 = (180x + -159x2 + -39x3 + 18x4 + -3x4 + 3x5) Combine like terms: 18x4 + -3x4 = 15x4 41 = (180x + -159x2 + -39x3 + 15x4 + 3x5) Solving 41 = 180x + -159x2 + -39x3 + 15x4 + 3x5 Solving for variable 'x'. Reorder the terms: 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 180x + -180x + -159x2 + 159x2 + -39x3 + 39x3 + 15x4 + -15x4 + 3x5 + -3x5 Combine like terms: 180x + -180x = 0 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 0 + -159x2 + 159x2 + -39x3 + 39x3 + 15x4 + -15x4 + 3x5 + -3x5 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = -159x2 + 159x2 + -39x3 + 39x3 + 15x4 + -15x4 + 3x5 + -3x5 Combine like terms: -159x2 + 159x2 = 0 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 0 + -39x3 + 39x3 + 15x4 + -15x4 + 3x5 + -3x5 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = -39x3 + 39x3 + 15x4 + -15x4 + 3x5 + -3x5 Combine like terms: -39x3 + 39x3 = 0 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 0 + 15x4 + -15x4 + 3x5 + -3x5 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 15x4 + -15x4 + 3x5 + -3x5 Combine like terms: 15x4 + -15x4 = 0 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 0 + 3x5 + -3x5 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 3x5 + -3x5 Combine like terms: 3x5 + -3x5 = 0 41 + -180x + 159x2 + 39x3 + -15x4 + -3x5 = 0 The solution to this equation could not be determined.
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