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Simplifying (2x + -3) * lnx + -6x = -9 Reorder the terms: (-3 + 2x) * lnx + -6x = -9 Reorder the terms for easier multiplication: lnx(-3 + 2x) + -6x = -9 (-3 * lnx + 2x * lnx) + -6x = -9 (-3lnx + 2lnx2) + -6x = -9 Solving -3lnx + 2lnx2 + -6x = -9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6x' to each side of the equation. -3lnx + 2lnx2 + -6x + 6x = -9 + 6x Combine like terms: -6x + 6x = 0 -3lnx + 2lnx2 + 0 = -9 + 6x -3lnx + 2lnx2 = -9 + 6x Reorder the terms: 9 + -3lnx + 2lnx2 + -6x = -9 + 6x + 9 + -6x Reorder the terms: 9 + -3lnx + 2lnx2 + -6x = -9 + 9 + 6x + -6x Combine like terms: -9 + 9 = 0 9 + -3lnx + 2lnx2 + -6x = 0 + 6x + -6x 9 + -3lnx + 2lnx2 + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 9 + -3lnx + 2lnx2 + -6x = 0 The solution to this equation could not be determined.
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