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Simplifying ln(x) + 3x2 + 5 = 0 Multiply ln * x lnx + 3x2 + 5 = 0 Reorder the terms: 5 + lnx + 3x2 = 0 Solving 5 + lnx + 3x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + lnx + -5 + 3x2 = 0 + -5 Reorder the terms: 5 + -5 + lnx + 3x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + lnx + 3x2 = 0 + -5 lnx + 3x2 = 0 + -5 Combine like terms: 0 + -5 = -5 lnx + 3x2 = -5 Add '-3x2' to each side of the equation. lnx + 3x2 + -3x2 = -5 + -3x2 Combine like terms: 3x2 + -3x2 = 0 lnx + 0 = -5 + -3x2 lnx = -5 + -3x2 Divide each side by 'nx'. l = -5n-1x-1 + -3n-1x Simplifying l = -5n-1x-1 + -3n-1x
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