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Simplifying 1 + -2x2(e) + 2x2(lnx) = 0 Multiply x2 * e 1 + -2ex2 + 2x2(lnx) = 0 Multiply x2 * lnx 1 + -2ex2 + 2lnx3 = 0 Solving 1 + -2ex2 + 2lnx3 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ex2 + -1 + 2lnx3 = 0 + -1 Reorder the terms: 1 + -1 + -2ex2 + 2lnx3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ex2 + 2lnx3 = 0 + -1 -2ex2 + 2lnx3 = 0 + -1 Combine like terms: 0 + -1 = -1 -2ex2 + 2lnx3 = -1 Add '-2lnx3' to each side of the equation. -2ex2 + 2lnx3 + -2lnx3 = -1 + -2lnx3 Combine like terms: 2lnx3 + -2lnx3 = 0 -2ex2 + 0 = -1 + -2lnx3 -2ex2 = -1 + -2lnx3 Divide each side by '-2x2'. e = 0.5x-2 + lnx Simplifying e = 0.5x-2 + lnx Reorder the terms: e = lnx + 0.5x-2
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