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Simplifying (8 + -8lnx + 4x + 2x2) = 0 Remove parenthesis around (8 + -8lnx + 4x + 2x2) 8 + -8lnx + 4x + 2x2 = 0 Solving 8 + -8lnx + 4x + 2x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8lnx + 4x + -8 + 2x2 = 0 + -8 Reorder the terms: 8 + -8 + -8lnx + 4x + 2x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8lnx + 4x + 2x2 = 0 + -8 -8lnx + 4x + 2x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -8lnx + 4x + 2x2 = -8 Add '-4x' to each side of the equation. -8lnx + 4x + -4x + 2x2 = -8 + -4x Combine like terms: 4x + -4x = 0 -8lnx + 0 + 2x2 = -8 + -4x -8lnx + 2x2 = -8 + -4x Add '-2x2' to each side of the equation. -8lnx + 2x2 + -2x2 = -8 + -4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8lnx + 0 = -8 + -4x + -2x2 -8lnx = -8 + -4x + -2x2 Divide each side by '-8nx'. l = n-1x-1 + 0.5n-1 + 0.25n-1x Simplifying l = n-1x-1 + 0.5n-1 + 0.25n-1x Reorder the terms: l = 0.5n-1 + n-1x-1 + 0.25n-1x
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