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Simplifying x2 = lnx Solving x2 = lnx Solving for variable 'x'. Reorder the terms: -1lnx + x2 = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1lnx + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1ln + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1ln + x)' equal to zero and attempt to solve: Simplifying -1ln + x = 0 Solving -1ln + x = 0 Move all terms containing x to the left, all other terms to the right. Add 'ln' to each side of the equation. -1ln + ln + x = 0 + ln Combine like terms: -1ln + ln = 0 0 + x = 0 + ln x = 0 + ln Remove the zero: x = ln Simplifying x = lnSolution
x = {0, ln}
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