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Simplifying 6ln(x) + x2 + -8x + 3 = 0 Multiply ln * x 6lnx + x2 + -8x + 3 = 0 Reorder the terms: 3 + 6lnx + -8x + x2 = 0 Solving 3 + 6lnx + -8x + x2 = 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 + 6lnx + -8x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 6lnx + -8x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6lnx + -8x + x2 = 0 + -3 6lnx + -8x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 6lnx + -8x + x2 = -3 Add '8x' to each side of the equation. 6lnx + -8x + 8x + x2 = -3 + 8x Combine like terms: -8x + 8x = 0 6lnx + 0 + x2 = -3 + 8x 6lnx + x2 = -3 + 8x Add '-1x2' to each side of the equation. 6lnx + x2 + -1x2 = -3 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 6lnx + 0 = -3 + 8x + -1x2 6lnx = -3 + 8x + -1x2 Divide each side by '6nx'. l = -0.5n-1x-1 + 1.333333333n-1 + -0.1666666667n-1x Simplifying l = -0.5n-1x-1 + 1.333333333n-1 + -0.1666666667n-1x Reorder the terms: l = 1.333333333n-1 + -0.5n-1x-1 + -0.1666666667n-1x
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