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Simplifying (x + 6)(x + 4)(x + -6)(x + -8) = 0 Reorder the terms: (6 + x)(x + 4)(x + -6)(x + -8) = 0 Reorder the terms: (6 + x)(4 + x)(x + -6)(x + -8) = 0 Reorder the terms: (6 + x)(4 + x)(-6 + x)(x + -8) = 0 Reorder the terms: (6 + x)(4 + x)(-6 + x)(-8 + x) = 0 Multiply (6 + x) * (4 + x) (6(4 + x) + x(4 + x))(-6 + x)(-8 + x) = 0 ((4 * 6 + x * 6) + x(4 + x))(-6 + x)(-8 + x) = 0 ((24 + 6x) + x(4 + x))(-6 + x)(-8 + x) = 0 (24 + 6x + (4 * x + x * x))(-6 + x)(-8 + x) = 0 (24 + 6x + (4x + x2))(-6 + x)(-8 + x) = 0 Combine like terms: 6x + 4x = 10x (24 + 10x + x2)(-6 + x)(-8 + x) = 0 Multiply (24 + 10x + x2) * (-6 + x) (24(-6 + x) + 10x * (-6 + x) + x2(-6 + x))(-8 + x) = 0 ((-6 * 24 + x * 24) + 10x * (-6 + x) + x2(-6 + x))(-8 + x) = 0 ((-144 + 24x) + 10x * (-6 + x) + x2(-6 + x))(-8 + x) = 0 (-144 + 24x + (-6 * 10x + x * 10x) + x2(-6 + x))(-8 + x) = 0 (-144 + 24x + (-60x + 10x2) + x2(-6 + x))(-8 + x) = 0 (-144 + 24x + -60x + 10x2 + (-6 * x2 + x * x2))(-8 + x) = 0 (-144 + 24x + -60x + 10x2 + (-6x2 + x3))(-8 + x) = 0 Combine like terms: 24x + -60x = -36x (-144 + -36x + 10x2 + -6x2 + x3)(-8 + x) = 0 Combine like terms: 10x2 + -6x2 = 4x2 (-144 + -36x + 4x2 + x3)(-8 + x) = 0 Multiply (-144 + -36x + 4x2 + x3) * (-8 + x) (-144(-8 + x) + -36x * (-8 + x) + 4x2 * (-8 + x) + x3(-8 + x)) = 0 ((-8 * -144 + x * -144) + -36x * (-8 + x) + 4x2 * (-8 + x) + x3(-8 + x)) = 0 ((1152 + -144x) + -36x * (-8 + x) + 4x2 * (-8 + x) + x3(-8 + x)) = 0 (1152 + -144x + (-8 * -36x + x * -36x) + 4x2 * (-8 + x) + x3(-8 + x)) = 0 (1152 + -144x + (288x + -36x2) + 4x2 * (-8 + x) + x3(-8 + x)) = 0 (1152 + -144x + 288x + -36x2 + (-8 * 4x2 + x * 4x2) + x3(-8 + x)) = 0 (1152 + -144x + 288x + -36x2 + (-32x2 + 4x3) + x3(-8 + x)) = 0 (1152 + -144x + 288x + -36x2 + -32x2 + 4x3 + (-8 * x3 + x * x3)) = 0 (1152 + -144x + 288x + -36x2 + -32x2 + 4x3 + (-8x3 + x4)) = 0 Combine like terms: -144x + 288x = 144x (1152 + 144x + -36x2 + -32x2 + 4x3 + -8x3 + x4) = 0 Combine like terms: -36x2 + -32x2 = -68x2 (1152 + 144x + -68x2 + 4x3 + -8x3 + x4) = 0 Combine like terms: 4x3 + -8x3 = -4x3 (1152 + 144x + -68x2 + -4x3 + x4) = 0 Solving 1152 + 144x + -68x2 + -4x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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