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Simplifying x * ln(x) + -6 + 3ln(x) + -2x = 0 Multiply x * ln lnx * x + -6 + 3ln(x) + -2x = 0 Multiply lnx * x lnx2 + -6 + 3ln(x) + -2x = 0 Multiply ln * x lnx2 + -6 + 3lnx + -2x = 0 Reorder the terms: -6 + 3lnx + lnx2 + -2x = 0 Solving -6 + 3lnx + lnx2 + -2x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3lnx + lnx2 + 6 + -2x = 0 + 6 Reorder the terms: -6 + 6 + 3lnx + lnx2 + -2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3lnx + lnx2 + -2x = 0 + 6 3lnx + lnx2 + -2x = 0 + 6 Combine like terms: 0 + 6 = 6 3lnx + lnx2 + -2x = 6 Add '2x' to each side of the equation. 3lnx + lnx2 + -2x + 2x = 6 + 2x Combine like terms: -2x + 2x = 0 3lnx + lnx2 + 0 = 6 + 2x 3lnx + lnx2 = 6 + 2x Reorder the terms: -6 + 3lnx + lnx2 + -2x = 6 + 2x + -6 + -2x Reorder the terms: -6 + 3lnx + lnx2 + -2x = 6 + -6 + 2x + -2x Combine like terms: 6 + -6 = 0 -6 + 3lnx + lnx2 + -2x = 0 + 2x + -2x -6 + 3lnx + lnx2 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3lnx + lnx2 + -2x = 0 The solution to this equation could not be determined.
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