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Simplifying (5x2 + -3) + ln(2x) = 0 Reorder the terms: (-3 + 5x2) + ln(2x) = 0 Remove parenthesis around (-3 + 5x2) -3 + 5x2 + ln(2x) = 0 Remove parenthesis around (2x) -3 + 5x2 + ln * 2x = 0 Reorder the terms for easier multiplication: -3 + 5x2 + 2ln * x = 0 Multiply ln * x -3 + 5x2 + 2lnx = 0 Reorder the terms: -3 + 2lnx + 5x2 = 0 Solving -3 + 2lnx + 5x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2lnx + 3 + 5x2 = 0 + 3 Reorder the terms: -3 + 3 + 2lnx + 5x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2lnx + 5x2 = 0 + 3 2lnx + 5x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2lnx + 5x2 = 3 Add '-5x2' to each side of the equation. 2lnx + 5x2 + -5x2 = 3 + -5x2 Combine like terms: 5x2 + -5x2 = 0 2lnx + 0 = 3 + -5x2 2lnx = 3 + -5x2 Divide each side by '2nx'. l = 1.5n-1x-1 + -2.5n-1x Simplifying l = 1.5n-1x-1 + -2.5n-1x
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