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Simplifying (4x + 2)(16x2 + -8x + 4) = 0 Reorder the terms: (2 + 4x)(16x2 + -8x + 4) = 0 Reorder the terms: (2 + 4x)(4 + -8x + 16x2) = 0 Multiply (2 + 4x) * (4 + -8x + 16x2) (2(4 + -8x + 16x2) + 4x * (4 + -8x + 16x2)) = 0 ((4 * 2 + -8x * 2 + 16x2 * 2) + 4x * (4 + -8x + 16x2)) = 0 ((8 + -16x + 32x2) + 4x * (4 + -8x + 16x2)) = 0 (8 + -16x + 32x2 + (4 * 4x + -8x * 4x + 16x2 * 4x)) = 0 (8 + -16x + 32x2 + (16x + -32x2 + 64x3)) = 0 Reorder the terms: (8 + -16x + 16x + 32x2 + -32x2 + 64x3) = 0 Combine like terms: -16x + 16x = 0 (8 + 0 + 32x2 + -32x2 + 64x3) = 0 (8 + 32x2 + -32x2 + 64x3) = 0 Combine like terms: 32x2 + -32x2 = 0 (8 + 0 + 64x3) = 0 (8 + 64x3) = 0 Solving 8 + 64x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 64x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 64x3 = 0 + -8 64x3 = 0 + -8 Combine like terms: 0 + -8 = -8 64x3 = -8 Divide each side by '64'. x3 = -0.125 Simplifying x3 = -0.125 Reorder the terms: 0.125 + x3 = -0.125 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.125 + x3 = 0.000 The solution to this equation could not be determined.
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