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Simplifying x(lnx) + -6 + 2(lnx) + -3x = 0 Multiply x * lnx lnx2 + -6 + 2(lnx) + -3x = 0 Reorder the terms: -6 + 2lnx + lnx2 + -3x = 0 Solving -6 + 2lnx + lnx2 + -3x = 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 + 2lnx + lnx2 + 6 + -3x = 0 + 6 Reorder the terms: -6 + 6 + 2lnx + lnx2 + -3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2lnx + lnx2 + -3x = 0 + 6 2lnx + lnx2 + -3x = 0 + 6 Combine like terms: 0 + 6 = 6 2lnx + lnx2 + -3x = 6 Add '3x' to each side of the equation. 2lnx + lnx2 + -3x + 3x = 6 + 3x Combine like terms: -3x + 3x = 0 2lnx + lnx2 + 0 = 6 + 3x 2lnx + lnx2 = 6 + 3x Reorder the terms: -6 + 2lnx + lnx2 + -3x = 6 + 3x + -6 + -3x Reorder the terms: -6 + 2lnx + lnx2 + -3x = 6 + -6 + 3x + -3x Combine like terms: 6 + -6 = 0 -6 + 2lnx + lnx2 + -3x = 0 + 3x + -3x -6 + 2lnx + lnx2 + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2lnx + lnx2 + -3x = 0 The solution to this equation could not be determined.
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