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Simplifying (2x + -1)(4x2 + 2x + 1) = 0 Reorder the terms: (-1 + 2x)(4x2 + 2x + 1) = 0 Reorder the terms: (-1 + 2x)(1 + 2x + 4x2) = 0 Multiply (-1 + 2x) * (1 + 2x + 4x2) (-1(1 + 2x + 4x2) + 2x * (1 + 2x + 4x2)) = 0 ((1 * -1 + 2x * -1 + 4x2 * -1) + 2x * (1 + 2x + 4x2)) = 0 ((-1 + -2x + -4x2) + 2x * (1 + 2x + 4x2)) = 0 (-1 + -2x + -4x2 + (1 * 2x + 2x * 2x + 4x2 * 2x)) = 0 (-1 + -2x + -4x2 + (2x + 4x2 + 8x3)) = 0 Reorder the terms: (-1 + -2x + 2x + -4x2 + 4x2 + 8x3) = 0 Combine like terms: -2x + 2x = 0 (-1 + 0 + -4x2 + 4x2 + 8x3) = 0 (-1 + -4x2 + 4x2 + 8x3) = 0 Combine like terms: -4x2 + 4x2 = 0 (-1 + 0 + 8x3) = 0 (-1 + 8x3) = 0 Solving -1 + 8x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x3 = 0 + 1 8x3 = 0 + 1 Combine like terms: 0 + 1 = 1 8x3 = 1 Divide each side by '8'. 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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