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Simplifying F(x) = x3ln(5x) Multiply F * x xF = x3ln(5x) Remove parenthesis around (5x) xF = lnx3 * 5x Reorder the terms for easier multiplication: xF = 5lnx3 * x Multiply lnx3 * x xF = 5lnx4 Solving xF = 5lnx4 Solving for variable 'x'. Reorder the terms: -5lnx4 + xF = 5lnx4 + -5lnx4 Combine like terms: 5lnx4 + -5lnx4 = 0 -5lnx4 + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5lnx3 + 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 '(-5lnx3 + F)' equal to zero and attempt to solve: Simplifying -5lnx3 + F = 0 Reorder the terms: F + -5lnx3 = 0 Solving F + -5lnx3 = 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 + -5lnx3 = 0 + -1F Combine like terms: F + -1F = 0 0 + -5lnx3 = 0 + -1F -5lnx3 = 0 + -1F Remove the zero: -5lnx3 = -1F Divide each side by '-5ln'. x3 = 0.2l-1n-1F Simplifying x3 = 0.2l-1n-1F 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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