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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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