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Simplifying (2x + 1)(4x2 + 27X + 0) = 0 Reorder the terms: (1 + 2x)(4x2 + 27X + 0) = 0 Reorder the terms: (1 + 2x)(0 + 27X + 4x2) = 0 Remove the zero: (1 + 2x)(27X + 4x2) = 0 Multiply (1 + 2x) * (27X + 4x2) (1(27X + 4x2) + 2x * (27X + 4x2)) = 0 ((27X * 1 + 4x2 * 1) + 2x * (27X + 4x2)) = 0 ((27X + 4x2) + 2x * (27X + 4x2)) = 0 (27X + 4x2 + (27X * 2x + 4x2 * 2x)) = 0 (27X + 4x2 + (54xX + 8x3)) = 0 Reorder the terms: (27X + 54xX + 4x2 + 8x3) = 0 (27X + 54xX + 4x2 + 8x3) = 0 Solving 27X + 54xX + 4x2 + 8x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4x2' to each side of the equation. 27X + 54xX + 4x2 + -4x2 + 8x3 = 0 + -4x2 Combine like terms: 4x2 + -4x2 = 0 27X + 54xX + 0 + 8x3 = 0 + -4x2 27X + 54xX + 8x3 = 0 + -4x2 Remove the zero: 27X + 54xX + 8x3 = -4x2 Add '-8x3' to each side of the equation. 27X + 54xX + 8x3 + -8x3 = -4x2 + -8x3 Combine like terms: 8x3 + -8x3 = 0 27X + 54xX + 0 = -4x2 + -8x3 27X + 54xX = -4x2 + -8x3 Reorder the terms: 27X + 54xX + 4x2 + 8x3 = -4x2 + 4x2 + -8x3 + 8x3 Combine like terms: -4x2 + 4x2 = 0 27X + 54xX + 4x2 + 8x3 = 0 + -8x3 + 8x3 27X + 54xX + 4x2 + 8x3 = -8x3 + 8x3 Combine like terms: -8x3 + 8x3 = 0 27X + 54xX + 4x2 + 8x3 = 0 The solution to this equation could not be determined.
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