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Simplifying x = 4lnx2 Solving x = 4lnx2 Solving for variable 'x'. Reorder the terms: -4lnx2 + x = 4lnx2 + -4lnx2 Combine like terms: 4lnx2 + -4lnx2 = 0 -4lnx2 + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4lnx + 1) = 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 '(-4lnx + 1)' equal to zero and attempt to solve: Simplifying -4lnx + 1 = 0 Reorder the terms: 1 + -4lnx = 0 Solving 1 + -4lnx = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4lnx = 0 + -1 -4lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -4lnx = -1 Divide each side by '-4ln'. x = 0.25l-1n-1 Simplifying x = 0.25l-1n-1Solution
x = {0, 0.25l-1n-1}
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