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Simplifying ln(5x2 + -4x) = 0 Reorder the terms: ln(-4x + 5x2) = 0 (-4x * ln + 5x2 * ln) = 0 (-4lnx + 5lnx2) = 0 Solving -4lnx + 5lnx2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'lnx'. lnx(-4 + 5x) = 0Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Add '-5x' to each side of the equation. 5x + -5x = 4 + -5x Combine like terms: 5x + -5x = 0 0 = 4 + -5x Simplifying 0 = 4 + -5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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