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Simplifying (1 + -2x)(4x2 + 2x + 1) + 8x3 = 0 Reorder the terms: (1 + -2x)(1 + 2x + 4x2) + 8x3 = 0 Multiply (1 + -2x) * (1 + 2x + 4x2) (1(1 + 2x + 4x2) + -2x * (1 + 2x + 4x2)) + 8x3 = 0 ((1 * 1 + 2x * 1 + 4x2 * 1) + -2x * (1 + 2x + 4x2)) + 8x3 = 0 ((1 + 2x + 4x2) + -2x * (1 + 2x + 4x2)) + 8x3 = 0 (1 + 2x + 4x2 + (1 * -2x + 2x * -2x + 4x2 * -2x)) + 8x3 = 0 (1 + 2x + 4x2 + (-2x + -4x2 + -8x3)) + 8x3 = 0 Reorder the terms: (1 + 2x + -2x + 4x2 + -4x2 + -8x3) + 8x3 = 0 Combine like terms: 2x + -2x = 0 (1 + 0 + 4x2 + -4x2 + -8x3) + 8x3 = 0 (1 + 4x2 + -4x2 + -8x3) + 8x3 = 0 Combine like terms: 4x2 + -4x2 = 0 (1 + 0 + -8x3) + 8x3 = 0 (1 + -8x3) + 8x3 = 0 Combine like terms: -8x3 + 8x3 = 0 1 + 0 = 0 1 = 0 Solving 1 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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