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Simplifying (2x + 3)(x + 6)(x + -2)(x + -1) = 0 Reorder the terms: (3 + 2x)(x + 6)(x + -2)(x + -1) = 0 Reorder the terms: (3 + 2x)(6 + x)(x + -2)(x + -1) = 0 Reorder the terms: (3 + 2x)(6 + x)(-2 + x)(x + -1) = 0 Reorder the terms: (3 + 2x)(6 + x)(-2 + x)(-1 + x) = 0 Multiply (3 + 2x) * (6 + x) (3(6 + x) + 2x * (6 + x))(-2 + x)(-1 + x) = 0 ((6 * 3 + x * 3) + 2x * (6 + x))(-2 + x)(-1 + x) = 0 ((18 + 3x) + 2x * (6 + x))(-2 + x)(-1 + x) = 0 (18 + 3x + (6 * 2x + x * 2x))(-2 + x)(-1 + x) = 0 (18 + 3x + (12x + 2x2))(-2 + x)(-1 + x) = 0 Combine like terms: 3x + 12x = 15x (18 + 15x + 2x2)(-2 + x)(-1 + x) = 0 Multiply (18 + 15x + 2x2) * (-2 + x) (18(-2 + x) + 15x * (-2 + x) + 2x2 * (-2 + x))(-1 + x) = 0 ((-2 * 18 + x * 18) + 15x * (-2 + x) + 2x2 * (-2 + x))(-1 + x) = 0 ((-36 + 18x) + 15x * (-2 + x) + 2x2 * (-2 + x))(-1 + x) = 0 (-36 + 18x + (-2 * 15x + x * 15x) + 2x2 * (-2 + x))(-1 + x) = 0 (-36 + 18x + (-30x + 15x2) + 2x2 * (-2 + x))(-1 + x) = 0 (-36 + 18x + -30x + 15x2 + (-2 * 2x2 + x * 2x2))(-1 + x) = 0 (-36 + 18x + -30x + 15x2 + (-4x2 + 2x3))(-1 + x) = 0 Combine like terms: 18x + -30x = -12x (-36 + -12x + 15x2 + -4x2 + 2x3)(-1 + x) = 0 Combine like terms: 15x2 + -4x2 = 11x2 (-36 + -12x + 11x2 + 2x3)(-1 + x) = 0 Multiply (-36 + -12x + 11x2 + 2x3) * (-1 + x) (-36(-1 + x) + -12x * (-1 + x) + 11x2 * (-1 + x) + 2x3 * (-1 + x)) = 0 ((-1 * -36 + x * -36) + -12x * (-1 + x) + 11x2 * (-1 + x) + 2x3 * (-1 + x)) = 0 ((36 + -36x) + -12x * (-1 + x) + 11x2 * (-1 + x) + 2x3 * (-1 + x)) = 0 (36 + -36x + (-1 * -12x + x * -12x) + 11x2 * (-1 + x) + 2x3 * (-1 + x)) = 0 (36 + -36x + (12x + -12x2) + 11x2 * (-1 + x) + 2x3 * (-1 + x)) = 0 (36 + -36x + 12x + -12x2 + (-1 * 11x2 + x * 11x2) + 2x3 * (-1 + x)) = 0 (36 + -36x + 12x + -12x2 + (-11x2 + 11x3) + 2x3 * (-1 + x)) = 0 (36 + -36x + 12x + -12x2 + -11x2 + 11x3 + (-1 * 2x3 + x * 2x3)) = 0 (36 + -36x + 12x + -12x2 + -11x2 + 11x3 + (-2x3 + 2x4)) = 0 Combine like terms: -36x + 12x = -24x (36 + -24x + -12x2 + -11x2 + 11x3 + -2x3 + 2x4) = 0 Combine like terms: -12x2 + -11x2 = -23x2 (36 + -24x + -23x2 + 11x3 + -2x3 + 2x4) = 0 Combine like terms: 11x3 + -2x3 = 9x3 (36 + -24x + -23x2 + 9x3 + 2x4) = 0 Solving 36 + -24x + -23x2 + 9x3 + 2x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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