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Simplifying (x + 6)(x + 6)(x + -2)(x + -2) = 0 Reorder the terms: (6 + x)(x + 6)(x + -2)(x + -2) = 0 Reorder the terms: (6 + x)(6 + x)(x + -2)(x + -2) = 0 Reorder the terms: (6 + x)(6 + x)(-2 + x)(x + -2) = 0 Reorder the terms: (6 + x)(6 + x)(-2 + x)(-2 + x) = 0 Multiply (6 + x) * (6 + x) (6(6 + x) + x(6 + x))(-2 + x)(-2 + x) = 0 ((6 * 6 + x * 6) + x(6 + x))(-2 + x)(-2 + x) = 0 ((36 + 6x) + x(6 + x))(-2 + x)(-2 + x) = 0 (36 + 6x + (6 * x + x * x))(-2 + x)(-2 + x) = 0 (36 + 6x + (6x + x2))(-2 + x)(-2 + x) = 0 Combine like terms: 6x + 6x = 12x (36 + 12x + x2)(-2 + x)(-2 + x) = 0 Multiply (36 + 12x + x2) * (-2 + x) (36(-2 + x) + 12x * (-2 + x) + x2(-2 + x))(-2 + x) = 0 ((-2 * 36 + x * 36) + 12x * (-2 + x) + x2(-2 + x))(-2 + x) = 0 ((-72 + 36x) + 12x * (-2 + x) + x2(-2 + x))(-2 + x) = 0 (-72 + 36x + (-2 * 12x + x * 12x) + x2(-2 + x))(-2 + x) = 0 (-72 + 36x + (-24x + 12x2) + x2(-2 + x))(-2 + x) = 0 (-72 + 36x + -24x + 12x2 + (-2 * x2 + x * x2))(-2 + x) = 0 (-72 + 36x + -24x + 12x2 + (-2x2 + x3))(-2 + x) = 0 Combine like terms: 36x + -24x = 12x (-72 + 12x + 12x2 + -2x2 + x3)(-2 + x) = 0 Combine like terms: 12x2 + -2x2 = 10x2 (-72 + 12x + 10x2 + x3)(-2 + x) = 0 Multiply (-72 + 12x + 10x2 + x3) * (-2 + x) (-72(-2 + x) + 12x * (-2 + x) + 10x2 * (-2 + x) + x3(-2 + x)) = 0 ((-2 * -72 + x * -72) + 12x * (-2 + x) + 10x2 * (-2 + x) + x3(-2 + x)) = 0 ((144 + -72x) + 12x * (-2 + x) + 10x2 * (-2 + x) + x3(-2 + x)) = 0 (144 + -72x + (-2 * 12x + x * 12x) + 10x2 * (-2 + x) + x3(-2 + x)) = 0 (144 + -72x + (-24x + 12x2) + 10x2 * (-2 + x) + x3(-2 + x)) = 0 (144 + -72x + -24x + 12x2 + (-2 * 10x2 + x * 10x2) + x3(-2 + x)) = 0 (144 + -72x + -24x + 12x2 + (-20x2 + 10x3) + x3(-2 + x)) = 0 (144 + -72x + -24x + 12x2 + -20x2 + 10x3 + (-2 * x3 + x * x3)) = 0 (144 + -72x + -24x + 12x2 + -20x2 + 10x3 + (-2x3 + x4)) = 0 Combine like terms: -72x + -24x = -96x (144 + -96x + 12x2 + -20x2 + 10x3 + -2x3 + x4) = 0 Combine like terms: 12x2 + -20x2 = -8x2 (144 + -96x + -8x2 + 10x3 + -2x3 + x4) = 0 Combine like terms: 10x3 + -2x3 = 8x3 (144 + -96x + -8x2 + 8x3 + x4) = 0 Solving 144 + -96x + -8x2 + 8x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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