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Simplifying (x + -2)(x + -2)(x + -2)(x + -2) + -1(x + -2)(x + -2) = 2 Reorder the terms: (-2 + x)(x + -2)(x + -2)(x + -2) + -1(x + -2)(x + -2) = 2 Reorder the terms: (-2 + x)(-2 + x)(x + -2)(x + -2) + -1(x + -2)(x + -2) = 2 Reorder the terms: (-2 + x)(-2 + x)(-2 + x)(x + -2) + -1(x + -2)(x + -2) = 2 Reorder the terms: (-2 + x)(-2 + x)(-2 + x)(-2 + x) + -1(x + -2)(x + -2) = 2 Multiply (-2 + x) * (-2 + x) (-2(-2 + x) + x(-2 + x))(-2 + x)(-2 + x) + -1(x + -2)(x + -2) = 2 ((-2 * -2 + x * -2) + x(-2 + x))(-2 + x)(-2 + x) + -1(x + -2)(x + -2) = 2 ((4 + -2x) + x(-2 + x))(-2 + x)(-2 + x) + -1(x + -2)(x + -2) = 2 (4 + -2x + (-2 * x + x * x))(-2 + x)(-2 + x) + -1(x + -2)(x + -2) = 2 (4 + -2x + (-2x + x2))(-2 + x)(-2 + x) + -1(x + -2)(x + -2) = 2 Combine like terms: -2x + -2x = -4x (4 + -4x + x2)(-2 + x)(-2 + x) + -1(x + -2)(x + -2) = 2 Multiply (4 + -4x + x2) * (-2 + x) (4(-2 + x) + -4x * (-2 + x) + x2(-2 + x))(-2 + x) + -1(x + -2)(x + -2) = 2 ((-2 * 4 + x * 4) + -4x * (-2 + x) + x2(-2 + x))(-2 + x) + -1(x + -2)(x + -2) = 2 ((-8 + 4x) + -4x * (-2 + x) + x2(-2 + x))(-2 + x) + -1(x + -2)(x + -2) = 2 (-8 + 4x + (-2 * -4x + x * -4x) + x2(-2 + x))(-2 + x) + -1(x + -2)(x + -2) = 2 (-8 + 4x + (8x + -4x2) + x2(-2 + x))(-2 + x) + -1(x + -2)(x + -2) = 2 (-8 + 4x + 8x + -4x2 + (-2 * x2 + x * x2))(-2 + x) + -1(x + -2)(x + -2) = 2 (-8 + 4x + 8x + -4x2 + (-2x2 + x3))(-2 + x) + -1(x + -2)(x + -2) = 2 Combine like terms: 4x + 8x = 12x (-8 + 12x + -4x2 + -2x2 + x3)(-2 + x) + -1(x + -2)(x + -2) = 2 Combine like terms: -4x2 + -2x2 = -6x2 (-8 + 12x + -6x2 + x3)(-2 + x) + -1(x + -2)(x + -2) = 2 Multiply (-8 + 12x + -6x2 + x3) * (-2 + x) (-8(-2 + x) + 12x * (-2 + x) + -6x2 * (-2 + x) + x3(-2 + x)) + -1(x + -2)(x + -2) = 2 ((-2 * -8 + x * -8) + 12x * (-2 + x) + -6x2 * (-2 + x) + x3(-2 + x)) + -1(x + -2)(x + -2) = 2 ((16 + -8x) + 12x * (-2 + x) + -6x2 * (-2 + x) + x3(-2 + x)) + -1(x + -2)(x + -2) = 2 (16 + -8x + (-2 * 12x + x * 12x) + -6x2 * (-2 + x) + x3(-2 + x)) + -1(x + -2)(x + -2) = 2 (16 + -8x + (-24x + 12x2) + -6x2 * (-2 + x) + x3(-2 + x)) + -1(x + -2)(x + -2) = 2 (16 + -8x + -24x + 12x2 + (-2 * -6x2 + x * -6x2) + x3(-2 + x)) + -1(x + -2)(x + -2) = 2 (16 + -8x + -24x + 12x2 + (12x2 + -6x3) + x3(-2 + x)) + -1(x + -2)(x + -2) = 2 (16 + -8x + -24x + 12x2 + 12x2 + -6x3 + (-2 * x3 + x * x3)) + -1(x + -2)(x + -2) = 2 (16 + -8x + -24x + 12x2 + 12x2 + -6x3 + (-2x3 + x4)) + -1(x + -2)(x + -2) = 2 Combine like terms: -8x + -24x = -32x (16 + -32x + 12x2 + 12x2 + -6x3 + -2x3 + x4) + -1(x + -2)(x + -2) = 2 Combine like terms: 12x2 + 12x2 = 24x2 (16 + -32x + 24x2 + -6x3 + -2x3 + x4) + -1(x + -2)(x + -2) = 2 Combine like terms: -6x3 + -2x3 = -8x3 (16 + -32x + 24x2 + -8x3 + x4) + -1(x + -2)(x + -2) = 2 Reorder the terms: 16 + -32x + 24x2 + -8x3 + x4 + -1(-2 + x)(x + -2) = 2 Reorder the terms: 16 + -32x + 24x2 + -8x3 + x4 + -1(-2 + x)(-2 + x) = 2 Multiply (-2 + x) * (-2 + x) 16 + -32x + 24x2 + -8x3 + x4 + -1(-2(-2 + x) + x(-2 + x)) = 2 16 + -32x + 24x2 + -8x3 + x4 + -1((-2 * -2 + x * -2) + x(-2 + x)) = 2 16 + -32x + 24x2 + -8x3 + x4 + -1((4 + -2x) + x(-2 + x)) = 2 16 + -32x + 24x2 + -8x3 + x4 + -1(4 + -2x + (-2 * x + x * x)) = 2 16 + -32x + 24x2 + -8x3 + x4 + -1(4 + -2x + (-2x + x2)) = 2 Combine like terms: -2x + -2x = -4x 16 + -32x + 24x2 + -8x3 + x4 + -1(4 + -4x + x2) = 2 16 + -32x + 24x2 + -8x3 + x4 + (4 * -1 + -4x * -1 + x2 * -1) = 2 16 + -32x + 24x2 + -8x3 + x4 + (-4 + 4x + -1x2) = 2 Reorder the terms: 16 + -4 + -32x + 4x + 24x2 + -1x2 + -8x3 + x4 = 2 Combine like terms: 16 + -4 = 12 12 + -32x + 4x + 24x2 + -1x2 + -8x3 + x4 = 2 Combine like terms: -32x + 4x = -28x 12 + -28x + 24x2 + -1x2 + -8x3 + x4 = 2 Combine like terms: 24x2 + -1x2 = 23x2 12 + -28x + 23x2 + -8x3 + x4 = 2 Solving 12 + -28x + 23x2 + -8x3 + x4 = 2 Solving for variable 'x'. Reorder the terms: 12 + -2 + -28x + 23x2 + -8x3 + x4 = 2 + -2 Combine like terms: 12 + -2 = 10 10 + -28x + 23x2 + -8x3 + x4 = 2 + -2 Combine like terms: 2 + -2 = 0 10 + -28x + 23x2 + -8x3 + x4 = 0 The solution to this equation could not be determined.
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