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Simplifying 8 = (1 + -1x)(1 + -1x)(1 + -1x) Multiply (1 + -1x) * (1 + -1x) 8 = (1(1 + -1x) + -1x * (1 + -1x))(1 + -1x) 8 = ((1 * 1 + -1x * 1) + -1x * (1 + -1x))(1 + -1x) 8 = ((1 + -1x) + -1x * (1 + -1x))(1 + -1x) 8 = (1 + -1x + (1 * -1x + -1x * -1x))(1 + -1x) 8 = (1 + -1x + (-1x + 1x2))(1 + -1x) Combine like terms: -1x + -1x = -2x 8 = (1 + -2x + 1x2)(1 + -1x) Multiply (1 + -2x + 1x2) * (1 + -1x) 8 = (1(1 + -1x) + -2x * (1 + -1x) + 1x2 * (1 + -1x)) 8 = ((1 * 1 + -1x * 1) + -2x * (1 + -1x) + 1x2 * (1 + -1x)) 8 = ((1 + -1x) + -2x * (1 + -1x) + 1x2 * (1 + -1x)) 8 = (1 + -1x + (1 * -2x + -1x * -2x) + 1x2 * (1 + -1x)) 8 = (1 + -1x + (-2x + 2x2) + 1x2 * (1 + -1x)) 8 = (1 + -1x + -2x + 2x2 + (1 * 1x2 + -1x * 1x2)) 8 = (1 + -1x + -2x + 2x2 + (1x2 + -1x3)) Combine like terms: -1x + -2x = -3x 8 = (1 + -3x + 2x2 + 1x2 + -1x3) Combine like terms: 2x2 + 1x2 = 3x2 8 = (1 + -3x + 3x2 + -1x3) Solving 8 = 1 + -3x + 3x2 + -1x3 Solving for variable 'x'. Combine like terms: 8 + -1 = 7 7 + 3x + -3x2 + x3 = 1 + -3x + 3x2 + -1x3 + -1 + 3x + -3x2 + x3 Reorder the terms: 7 + 3x + -3x2 + x3 = 1 + -1 + -3x + 3x + 3x2 + -3x2 + -1x3 + x3 Combine like terms: 1 + -1 = 0 7 + 3x + -3x2 + x3 = 0 + -3x + 3x + 3x2 + -3x2 + -1x3 + x3 7 + 3x + -3x2 + x3 = -3x + 3x + 3x2 + -3x2 + -1x3 + x3 Combine like terms: -3x + 3x = 0 7 + 3x + -3x2 + x3 = 0 + 3x2 + -3x2 + -1x3 + x3 7 + 3x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3 Combine like terms: 3x2 + -3x2 = 0 7 + 3x + -3x2 + x3 = 0 + -1x3 + x3 7 + 3x + -3x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 7 + 3x + -3x2 + x3 = 0 The solution to this equation could not be determined.
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