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Simplifying 2e3x = 3e2x Solving 2e3x = 3e2x Solving for variable 'e'. Reorder the terms: -3e2x + 2e3x = 3e2x + -3e2x Combine like terms: 3e2x + -3e2x = 0 -3e2x + 2e3x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(-3 + 2e) = 0Subproblem 1
Set the factor 'e2x' equal to zero and attempt to solve: Simplifying e2x = 0 Solving e2x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x = 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 '(-3 + 2e)' equal to zero and attempt to solve: Simplifying -3 + 2e = 0 Solving -3 + 2e = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2e = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2e = 0 + 3 2e = 0 + 3 Combine like terms: 0 + 3 = 3 2e = 3 Divide each side by '2'. e = 1.5 Simplifying e = 1.5Solution
e = {1.5}
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