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Simplifying x + (x + 3) * ln(x + 3) = 0 Reorder the terms: x + (3 + x) * ln(x + 3) = 0 Reorder the terms: x + (3 + x) * ln(3 + x) = 0 Reorder the terms for easier multiplication: x + ln(3 + x)(3 + x) = 0 Multiply (3 + x) * (3 + x) x + ln(3(3 + x) + x(3 + x)) = 0 x + ln((3 * 3 + x * 3) + x(3 + x)) = 0 x + ln((9 + 3x) + x(3 + x)) = 0 x + ln(9 + 3x + (3 * x + x * x)) = 0 x + ln(9 + 3x + (3x + x2)) = 0 Combine like terms: 3x + 3x = 6x x + ln(9 + 6x + x2) = 0 x + (9 * ln + 6x * ln + x2 * ln) = 0 x + (9ln + 6lnx + lnx2) = 0 Reorder the terms: 9ln + 6lnx + lnx2 + x = 0 Solving 9ln + 6lnx + lnx2 + x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. 9ln + 6lnx + lnx2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 9ln + 6lnx + lnx2 + 0 = 0 + -1x 9ln + 6lnx + lnx2 = 0 + -1x Remove the zero: 9ln + 6lnx + lnx2 = -1x Combine like terms: -1x + x = 0 9ln + 6lnx + lnx2 + x = 0 The solution to this equation could not be determined.
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