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Simplifying 0.07 = (1 + x)(1 + x)(1 + x) Multiply (1 + x) * (1 + x) 0.07 = (1(1 + x) + x(1 + x))(1 + x) 0.07 = ((1 * 1 + x * 1) + x(1 + x))(1 + x) 0.07 = ((1 + 1x) + x(1 + x))(1 + x) 0.07 = (1 + 1x + (1 * x + x * x))(1 + x) 0.07 = (1 + 1x + (1x + x2))(1 + x) Combine like terms: 1x + 1x = 2x 0.07 = (1 + 2x + x2)(1 + x) Multiply (1 + 2x + x2) * (1 + x) 0.07 = (1(1 + x) + 2x * (1 + x) + x2(1 + x)) 0.07 = ((1 * 1 + x * 1) + 2x * (1 + x) + x2(1 + x)) 0.07 = ((1 + 1x) + 2x * (1 + x) + x2(1 + x)) 0.07 = (1 + 1x + (1 * 2x + x * 2x) + x2(1 + x)) 0.07 = (1 + 1x + (2x + 2x2) + x2(1 + x)) 0.07 = (1 + 1x + 2x + 2x2 + (1 * x2 + x * x2)) 0.07 = (1 + 1x + 2x + 2x2 + (1x2 + x3)) Combine like terms: 1x + 2x = 3x 0.07 = (1 + 3x + 2x2 + 1x2 + x3) Combine like terms: 2x2 + 1x2 = 3x2 0.07 = (1 + 3x + 3x2 + x3) Solving 0.07 = 1 + 3x + 3x2 + x3 Solving for variable 'x'. Combine like terms: 0.07 + -1 = -0.93 -0.93 + -3x + -3x2 + -1x3 = 1 + 3x + 3x2 + x3 + -1 + -3x + -3x2 + -1x3 Reorder the terms: -0.93 + -3x + -3x2 + -1x3 = 1 + -1 + 3x + -3x + 3x2 + -3x2 + x3 + -1x3 Combine like terms: 1 + -1 = 0 -0.93 + -3x + -3x2 + -1x3 = 0 + 3x + -3x + 3x2 + -3x2 + x3 + -1x3 -0.93 + -3x + -3x2 + -1x3 = 3x + -3x + 3x2 + -3x2 + x3 + -1x3 Combine like terms: 3x + -3x = 0 -0.93 + -3x + -3x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3 -0.93 + -3x + -3x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3 Combine like terms: 3x2 + -3x2 = 0 -0.93 + -3x + -3x2 + -1x3 = 0 + x3 + -1x3 -0.93 + -3x + -3x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -0.93 + -3x + -3x2 + -1x3 = 0 The solution to this equation could not be determined.
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