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Simplifying 18ln(x) + -1x2 + 16x + -15 = 0 Multiply ln * x 18lnx + -1x2 + 16x + -15 = 0 Reorder the terms: -15 + 18lnx + 16x + -1x2 = 0 Solving -15 + 18lnx + 16x + -1x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 18lnx + 16x + 15 + -1x2 = 0 + 15 Reorder the terms: -15 + 15 + 18lnx + 16x + -1x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 18lnx + 16x + -1x2 = 0 + 15 18lnx + 16x + -1x2 = 0 + 15 Combine like terms: 0 + 15 = 15 18lnx + 16x + -1x2 = 15 Add '-16x' to each side of the equation. 18lnx + 16x + -16x + -1x2 = 15 + -16x Combine like terms: 16x + -16x = 0 18lnx + 0 + -1x2 = 15 + -16x 18lnx + -1x2 = 15 + -16x Add 'x2' to each side of the equation. 18lnx + -1x2 + x2 = 15 + -16x + x2 Combine like terms: -1x2 + x2 = 0 18lnx + 0 = 15 + -16x + x2 18lnx = 15 + -16x + x2 Divide each side by '18nx'. l = 0.8333333333n-1x-1 + -0.8888888889n-1 + 0.05555555556n-1x Simplifying l = 0.8333333333n-1x-1 + -0.8888888889n-1 + 0.05555555556n-1x Reorder the terms: l = -0.8888888889n-1 + 0.8333333333n-1x-1 + 0.05555555556n-1x
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