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Simplifying In(x + 4) + 8 = x3 + -4x2 + 3x + -5 Reorder the terms: nI(4 + x) + 8 = x3 + -4x2 + 3x + -5 (4 * nI + x * nI) + 8 = x3 + -4x2 + 3x + -5 (4nI + nxI) + 8 = x3 + -4x2 + 3x + -5 Reorder the terms: 8 + 4nI + nxI = x3 + -4x2 + 3x + -5 Reorder the terms: 8 + 4nI + nxI = -5 + 3x + -4x2 + x3 Solving 8 + 4nI + nxI = -5 + 3x + -4x2 + x3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4nI + -8 + nxI = -5 + 3x + -4x2 + -8 + x3 Reorder the terms: 8 + -8 + 4nI + nxI = -5 + 3x + -4x2 + -8 + x3 Combine like terms: 8 + -8 = 0 0 + 4nI + nxI = -5 + 3x + -4x2 + -8 + x3 4nI + nxI = -5 + 3x + -4x2 + -8 + x3 Reorder the terms: 4nI + nxI = -5 + -8 + 3x + -4x2 + x3 Combine like terms: -5 + -8 = -13 4nI + nxI = -13 + 3x + -4x2 + x3 Reorder the terms: 13 + 4nI + nxI + -3x + 4x2 + -1x3 = -13 + 3x + -4x2 + x3 + 13 + -3x + 4x2 + -1x3 Reorder the terms: 13 + 4nI + nxI + -3x + 4x2 + -1x3 = -13 + 13 + 3x + -3x + -4x2 + 4x2 + x3 + -1x3 Combine like terms: -13 + 13 = 0 13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0 + 3x + -3x + -4x2 + 4x2 + x3 + -1x3 13 + 4nI + nxI + -3x + 4x2 + -1x3 = 3x + -3x + -4x2 + 4x2 + x3 + -1x3 Combine like terms: 3x + -3x = 0 13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0 + -4x2 + 4x2 + x3 + -1x3 13 + 4nI + nxI + -3x + 4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3 Combine like terms: -4x2 + 4x2 = 0 13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0 + x3 + -1x3 13 + 4nI + nxI + -3x + 4x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 13 + 4nI + nxI + -3x + 4x2 + -1x3 = 0 The solution to this equation could not be determined.
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