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Simplifying x = (x + -15)(x + -6)(x + 2)(x + 2) Reorder the terms: x = (-15 + x)(x + -6)(x + 2)(x + 2) Reorder the terms: x = (-15 + x)(-6 + x)(x + 2)(x + 2) Reorder the terms: x = (-15 + x)(-6 + x)(2 + x)(x + 2) Reorder the terms: x = (-15 + x)(-6 + x)(2 + x)(2 + x) Multiply (-15 + x) * (-6 + x) x = (-15(-6 + x) + x(-6 + x))(2 + x)(2 + x) x = ((-6 * -15 + x * -15) + x(-6 + x))(2 + x)(2 + x) x = ((90 + -15x) + x(-6 + x))(2 + x)(2 + x) x = (90 + -15x + (-6 * x + x * x))(2 + x)(2 + x) x = (90 + -15x + (-6x + x2))(2 + x)(2 + x) Combine like terms: -15x + -6x = -21x x = (90 + -21x + x2)(2 + x)(2 + x) Multiply (90 + -21x + x2) * (2 + x) x = (90(2 + x) + -21x * (2 + x) + x2(2 + x))(2 + x) x = ((2 * 90 + x * 90) + -21x * (2 + x) + x2(2 + x))(2 + x) x = ((180 + 90x) + -21x * (2 + x) + x2(2 + x))(2 + x) x = (180 + 90x + (2 * -21x + x * -21x) + x2(2 + x))(2 + x) x = (180 + 90x + (-42x + -21x2) + x2(2 + x))(2 + x) x = (180 + 90x + -42x + -21x2 + (2 * x2 + x * x2))(2 + x) x = (180 + 90x + -42x + -21x2 + (2x2 + x3))(2 + x) Combine like terms: 90x + -42x = 48x x = (180 + 48x + -21x2 + 2x2 + x3)(2 + x) Combine like terms: -21x2 + 2x2 = -19x2 x = (180 + 48x + -19x2 + x3)(2 + x) Multiply (180 + 48x + -19x2 + x3) * (2 + x) x = (180(2 + x) + 48x * (2 + x) + -19x2 * (2 + x) + x3(2 + x)) x = ((2 * 180 + x * 180) + 48x * (2 + x) + -19x2 * (2 + x) + x3(2 + x)) x = ((360 + 180x) + 48x * (2 + x) + -19x2 * (2 + x) + x3(2 + x)) x = (360 + 180x + (2 * 48x + x * 48x) + -19x2 * (2 + x) + x3(2 + x)) x = (360 + 180x + (96x + 48x2) + -19x2 * (2 + x) + x3(2 + x)) x = (360 + 180x + 96x + 48x2 + (2 * -19x2 + x * -19x2) + x3(2 + x)) x = (360 + 180x + 96x + 48x2 + (-38x2 + -19x3) + x3(2 + x)) x = (360 + 180x + 96x + 48x2 + -38x2 + -19x3 + (2 * x3 + x * x3)) x = (360 + 180x + 96x + 48x2 + -38x2 + -19x3 + (2x3 + x4)) Combine like terms: 180x + 96x = 276x x = (360 + 276x + 48x2 + -38x2 + -19x3 + 2x3 + x4) Combine like terms: 48x2 + -38x2 = 10x2 x = (360 + 276x + 10x2 + -19x3 + 2x3 + x4) Combine like terms: -19x3 + 2x3 = -17x3 x = (360 + 276x + 10x2 + -17x3 + x4) Solving x = 360 + 276x + 10x2 + -17x3 + x4 Solving for variable 'x'. Reorder the terms: -360 + x + -276x + -10x2 + 17x3 + -1x4 = 360 + 276x + 10x2 + -17x3 + x4 + -360 + -276x + -10x2 + 17x3 + -1x4 Combine like terms: x + -276x = -275x -360 + -275x + -10x2 + 17x3 + -1x4 = 360 + 276x + 10x2 + -17x3 + x4 + -360 + -276x + -10x2 + 17x3 + -1x4 Reorder the terms: -360 + -275x + -10x2 + 17x3 + -1x4 = 360 + -360 + 276x + -276x + 10x2 + -10x2 + -17x3 + 17x3 + x4 + -1x4 Combine like terms: 360 + -360 = 0 -360 + -275x + -10x2 + 17x3 + -1x4 = 0 + 276x + -276x + 10x2 + -10x2 + -17x3 + 17x3 + x4 + -1x4 -360 + -275x + -10x2 + 17x3 + -1x4 = 276x + -276x + 10x2 + -10x2 + -17x3 + 17x3 + x4 + -1x4 Combine like terms: 276x + -276x = 0 -360 + -275x + -10x2 + 17x3 + -1x4 = 0 + 10x2 + -10x2 + -17x3 + 17x3 + x4 + -1x4 -360 + -275x + -10x2 + 17x3 + -1x4 = 10x2 + -10x2 + -17x3 + 17x3 + x4 + -1x4 Combine like terms: 10x2 + -10x2 = 0 -360 + -275x + -10x2 + 17x3 + -1x4 = 0 + -17x3 + 17x3 + x4 + -1x4 -360 + -275x + -10x2 + 17x3 + -1x4 = -17x3 + 17x3 + x4 + -1x4 Combine like terms: -17x3 + 17x3 = 0 -360 + -275x + -10x2 + 17x3 + -1x4 = 0 + x4 + -1x4 -360 + -275x + -10x2 + 17x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -360 + -275x + -10x2 + 17x3 + -1x4 = 0 The solution to this equation could not be determined.
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