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Simplifying F(x) = 2ln(9x) Multiply F * x xF = 2ln(9x) Remove parenthesis around (9x) xF = 2ln * 9x Reorder the terms for easier multiplication: xF = 2 * 9ln * x Multiply 2 * 9 xF = 18ln * x Multiply ln * x xF = 18lnx Solving xF = 18lnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18lnx' to each side of the equation. -18lnx + xF = 18lnx + -18lnx Combine like terms: 18lnx + -18lnx = 0 -18lnx + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-18ln + F) = 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 '(-18ln + F)' equal to zero and attempt to solve: Simplifying -18ln + F = 0 Reorder the terms: F + -18ln = 0 Solving F + -18ln = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -18ln = 0 + -1F Combine like terms: F + -1F = 0 0 + -18ln = 0 + -1F -18ln = 0 + -1F Remove the zero: -18ln = -1F Add '18ln' to each side of the equation. -18ln + 18ln = -1F + 18ln Combine like terms: -18ln + 18ln = 0 0 = -1F + 18ln Simplifying 0 = -1F + 18ln The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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