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Simplifying 52 = (x + 7)(x + 8)(x2 + -3x)(4x + -3) Reorder the terms: 52 = (7 + x)(x + 8)(x2 + -3x)(4x + -3) Reorder the terms: 52 = (7 + x)(8 + x)(x2 + -3x)(4x + -3) Reorder the terms: 52 = (7 + x)(8 + x)(-3x + x2)(4x + -3) Reorder the terms: 52 = (7 + x)(8 + x)(-3x + x2)(-3 + 4x) Multiply (7 + x) * (8 + x) 52 = (7(8 + x) + x(8 + x))(-3x + x2)(-3 + 4x) 52 = ((8 * 7 + x * 7) + x(8 + x))(-3x + x2)(-3 + 4x) 52 = ((56 + 7x) + x(8 + x))(-3x + x2)(-3 + 4x) 52 = (56 + 7x + (8 * x + x * x))(-3x + x2)(-3 + 4x) 52 = (56 + 7x + (8x + x2))(-3x + x2)(-3 + 4x) Combine like terms: 7x + 8x = 15x 52 = (56 + 15x + x2)(-3x + x2)(-3 + 4x) Multiply (56 + 15x + x2) * (-3x + x2) 52 = (56(-3x + x2) + 15x * (-3x + x2) + x2(-3x + x2))(-3 + 4x) 52 = ((-3x * 56 + x2 * 56) + 15x * (-3x + x2) + x2(-3x + x2))(-3 + 4x) 52 = ((-168x + 56x2) + 15x * (-3x + x2) + x2(-3x + x2))(-3 + 4x) 52 = (-168x + 56x2 + (-3x * 15x + x2 * 15x) + x2(-3x + x2))(-3 + 4x) 52 = (-168x + 56x2 + (-45x2 + 15x3) + x2(-3x + x2))(-3 + 4x) 52 = (-168x + 56x2 + -45x2 + 15x3 + (-3x * x2 + x2 * x2))(-3 + 4x) 52 = (-168x + 56x2 + -45x2 + 15x3 + (-3x3 + x4))(-3 + 4x) Combine like terms: 56x2 + -45x2 = 11x2 52 = (-168x + 11x2 + 15x3 + -3x3 + x4)(-3 + 4x) Combine like terms: 15x3 + -3x3 = 12x3 52 = (-168x + 11x2 + 12x3 + x4)(-3 + 4x) Multiply (-168x + 11x2 + 12x3 + x4) * (-3 + 4x) 52 = (-168x * (-3 + 4x) + 11x2 * (-3 + 4x) + 12x3 * (-3 + 4x) + x4(-3 + 4x)) 52 = ((-3 * -168x + 4x * -168x) + 11x2 * (-3 + 4x) + 12x3 * (-3 + 4x) + x4(-3 + 4x)) 52 = ((504x + -672x2) + 11x2 * (-3 + 4x) + 12x3 * (-3 + 4x) + x4(-3 + 4x)) 52 = (504x + -672x2 + (-3 * 11x2 + 4x * 11x2) + 12x3 * (-3 + 4x) + x4(-3 + 4x)) 52 = (504x + -672x2 + (-33x2 + 44x3) + 12x3 * (-3 + 4x) + x4(-3 + 4x)) 52 = (504x + -672x2 + -33x2 + 44x3 + (-3 * 12x3 + 4x * 12x3) + x4(-3 + 4x)) 52 = (504x + -672x2 + -33x2 + 44x3 + (-36x3 + 48x4) + x4(-3 + 4x)) 52 = (504x + -672x2 + -33x2 + 44x3 + -36x3 + 48x4 + (-3 * x4 + 4x * x4)) 52 = (504x + -672x2 + -33x2 + 44x3 + -36x3 + 48x4 + (-3x4 + 4x5)) Combine like terms: -672x2 + -33x2 = -705x2 52 = (504x + -705x2 + 44x3 + -36x3 + 48x4 + -3x4 + 4x5) Combine like terms: 44x3 + -36x3 = 8x3 52 = (504x + -705x2 + 8x3 + 48x4 + -3x4 + 4x5) Combine like terms: 48x4 + -3x4 = 45x4 52 = (504x + -705x2 + 8x3 + 45x4 + 4x5) Solving 52 = 504x + -705x2 + 8x3 + 45x4 + 4x5 Solving for variable 'x'. Reorder the terms: 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 504x + -504x + -705x2 + 705x2 + 8x3 + -8x3 + 45x4 + -45x4 + 4x5 + -4x5 Combine like terms: 504x + -504x = 0 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 0 + -705x2 + 705x2 + 8x3 + -8x3 + 45x4 + -45x4 + 4x5 + -4x5 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = -705x2 + 705x2 + 8x3 + -8x3 + 45x4 + -45x4 + 4x5 + -4x5 Combine like terms: -705x2 + 705x2 = 0 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 0 + 8x3 + -8x3 + 45x4 + -45x4 + 4x5 + -4x5 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 8x3 + -8x3 + 45x4 + -45x4 + 4x5 + -4x5 Combine like terms: 8x3 + -8x3 = 0 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 0 + 45x4 + -45x4 + 4x5 + -4x5 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 45x4 + -45x4 + 4x5 + -4x5 Combine like terms: 45x4 + -45x4 = 0 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 0 + 4x5 + -4x5 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 4x5 + -4x5 Combine like terms: 4x5 + -4x5 = 0 52 + -504x + 705x2 + -8x3 + -45x4 + -4x5 = 0 The solution to this equation could not be determined.
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