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Simplifying (x + 6)(x + 6)(x + -6)(x + 6) = 0 Reorder the terms: (6 + x)(x + 6)(x + -6)(x + 6) = 0 Reorder the terms: (6 + x)(6 + x)(x + -6)(x + 6) = 0 Reorder the terms: (6 + x)(6 + x)(-6 + x)(x + 6) = 0 Reorder the terms: (6 + x)(6 + x)(-6 + x)(6 + x) = 0 Multiply (6 + x) * (6 + x) (6(6 + x) + x(6 + x))(-6 + x)(6 + x) = 0 ((6 * 6 + x * 6) + x(6 + x))(-6 + x)(6 + x) = 0 ((36 + 6x) + x(6 + x))(-6 + x)(6 + x) = 0 (36 + 6x + (6 * x + x * x))(-6 + x)(6 + x) = 0 (36 + 6x + (6x + x2))(-6 + x)(6 + x) = 0 Combine like terms: 6x + 6x = 12x (36 + 12x + x2)(-6 + x)(6 + x) = 0 Multiply (36 + 12x + x2) * (-6 + x) (36(-6 + x) + 12x * (-6 + x) + x2(-6 + x))(6 + x) = 0 ((-6 * 36 + x * 36) + 12x * (-6 + x) + x2(-6 + x))(6 + x) = 0 ((-216 + 36x) + 12x * (-6 + x) + x2(-6 + x))(6 + x) = 0 (-216 + 36x + (-6 * 12x + x * 12x) + x2(-6 + x))(6 + x) = 0 (-216 + 36x + (-72x + 12x2) + x2(-6 + x))(6 + x) = 0 (-216 + 36x + -72x + 12x2 + (-6 * x2 + x * x2))(6 + x) = 0 (-216 + 36x + -72x + 12x2 + (-6x2 + x3))(6 + x) = 0 Combine like terms: 36x + -72x = -36x (-216 + -36x + 12x2 + -6x2 + x3)(6 + x) = 0 Combine like terms: 12x2 + -6x2 = 6x2 (-216 + -36x + 6x2 + x3)(6 + x) = 0 Multiply (-216 + -36x + 6x2 + x3) * (6 + x) (-216(6 + x) + -36x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = 0 ((6 * -216 + x * -216) + -36x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = 0 ((-1296 + -216x) + -36x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = 0 (-1296 + -216x + (6 * -36x + x * -36x) + 6x2 * (6 + x) + x3(6 + x)) = 0 (-1296 + -216x + (-216x + -36x2) + 6x2 * (6 + x) + x3(6 + x)) = 0 (-1296 + -216x + -216x + -36x2 + (6 * 6x2 + x * 6x2) + x3(6 + x)) = 0 (-1296 + -216x + -216x + -36x2 + (36x2 + 6x3) + x3(6 + x)) = 0 (-1296 + -216x + -216x + -36x2 + 36x2 + 6x3 + (6 * x3 + x * x3)) = 0 (-1296 + -216x + -216x + -36x2 + 36x2 + 6x3 + (6x3 + x4)) = 0 Combine like terms: -216x + -216x = -432x (-1296 + -432x + -36x2 + 36x2 + 6x3 + 6x3 + x4) = 0 Combine like terms: -36x2 + 36x2 = 0 (-1296 + -432x + 0 + 6x3 + 6x3 + x4) = 0 (-1296 + -432x + 6x3 + 6x3 + x4) = 0 Combine like terms: 6x3 + 6x3 = 12x3 (-1296 + -432x + 12x3 + x4) = 0 Solving -1296 + -432x + 12x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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