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Simplifying x(4 + -1x) + -3lnx = 0 (4 * x + -1x * x) + -3lnx = 0 (4x + -1x2) + -3lnx = 0 Reorder the terms: -3lnx + 4x + -1x2 = 0 Solving -3lnx + 4x + -1x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4x' to each side of the equation. -3lnx + 4x + -4x + -1x2 = 0 + -4x Combine like terms: 4x + -4x = 0 -3lnx + 0 + -1x2 = 0 + -4x -3lnx + -1x2 = 0 + -4x Remove the zero: -3lnx + -1x2 = -4x Add 'x2' to each side of the equation. -3lnx + -1x2 + x2 = -4x + x2 Combine like terms: -1x2 + x2 = 0 -3lnx + 0 = -4x + x2 -3lnx = -4x + x2 Divide each side by '-3nx'. l = 1.333333333n-1 + -0.3333333333n-1x Simplifying l = 1.333333333n-1 + -0.3333333333n-1x
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