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