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Simplifying lne5x + lne3x = 0 Reorder the terms: e3lnx + e5lnx = 0 Solving e3lnx + e5lnx = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e3lnx'. e3lnx(1 + e2) = 0Subproblem 1
Set the factor 'e3lnx' equal to zero and attempt to solve: Simplifying e3lnx = 0 Solving e3lnx = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3lnx = 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 '(1 + e2)' equal to zero and attempt to solve: Simplifying 1 + e2 = 0 Solving 1 + e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e2 = 0 + -1 e2 = 0 + -1 Combine like terms: 0 + -1 = -1 e2 = -1 Simplifying e2 = -1 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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