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Simplifying x2 + -6x + 4lnx + 8 = 0 Reorder the terms: 8 + 4lnx + -6x + x2 = 0 Solving 8 + 4lnx + -6x + x2 = 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 + 4lnx + -6x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 4lnx + -6x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4lnx + -6x + x2 = 0 + -8 4lnx + -6x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 4lnx + -6x + x2 = -8 Add '6x' to each side of the equation. 4lnx + -6x + 6x + x2 = -8 + 6x Combine like terms: -6x + 6x = 0 4lnx + 0 + x2 = -8 + 6x 4lnx + x2 = -8 + 6x Add '-1x2' to each side of the equation. 4lnx + x2 + -1x2 = -8 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 4lnx + 0 = -8 + 6x + -1x2 4lnx = -8 + 6x + -1x2 Divide each side by '4nx'. l = -2n-1x-1 + 1.5n-1 + -0.25n-1x Simplifying l = -2n-1x-1 + 1.5n-1 + -0.25n-1x Reorder the terms: l = 1.5n-1 + -2n-1x-1 + -0.25n-1x
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