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Simplifying (x + -3)(lnx + -2) = 0 Reorder the terms: (-3 + x)(lnx + -2) = 0 Reorder the terms: (-3 + x)(-2 + lnx) = 0 Multiply (-3 + x) * (-2 + lnx) (-3(-2 + lnx) + x(-2 + lnx)) = 0 ((-2 * -3 + lnx * -3) + x(-2 + lnx)) = 0 ((6 + -3lnx) + x(-2 + lnx)) = 0 (6 + -3lnx + (-2 * x + lnx * x)) = 0 Reorder the terms: (6 + -3lnx + (lnx2 + -2x)) = 0 (6 + -3lnx + (lnx2 + -2x)) = 0 (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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