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Simplifying ln(x2 + 6x + 9) + 3x + -8 = 0 Reorder the terms: ln(9 + 6x + x2) + 3x + -8 = 0 (9 * ln + 6x * ln + x2 * ln) + 3x + -8 = 0 (9ln + 6lnx + lnx2) + 3x + -8 = 0 Reorder the terms: -8 + 9ln + 6lnx + lnx2 + 3x = 0 Solving -8 + 9ln + 6lnx + lnx2 + 3x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 9ln + 6lnx + lnx2 + 8 + 3x = 0 + 8 Reorder the terms: -8 + 8 + 9ln + 6lnx + lnx2 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9ln + 6lnx + lnx2 + 3x = 0 + 8 9ln + 6lnx + lnx2 + 3x = 0 + 8 Combine like terms: 0 + 8 = 8 9ln + 6lnx + lnx2 + 3x = 8 Add '-3x' to each side of the equation. 9ln + 6lnx + lnx2 + 3x + -3x = 8 + -3x Combine like terms: 3x + -3x = 0 9ln + 6lnx + lnx2 + 0 = 8 + -3x 9ln + 6lnx + lnx2 = 8 + -3x Reorder the terms: -8 + 9ln + 6lnx + lnx2 + 3x = 8 + -3x + -8 + 3x Reorder the terms: -8 + 9ln + 6lnx + lnx2 + 3x = 8 + -8 + -3x + 3x Combine like terms: 8 + -8 = 0 -8 + 9ln + 6lnx + lnx2 + 3x = 0 + -3x + 3x -8 + 9ln + 6lnx + lnx2 + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 9ln + 6lnx + lnx2 + 3x = 0 The solution to this equation could not be determined.
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