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Simplifying 2(e2x) = 5(e3x) Solving 2e2x = 5e3x Solving for variable 'e'. Combine like terms: 5e3x + -5e3x = 0 2e2x + -5e3x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(2 + -5e) = 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 '(2 + -5e)' equal to zero and attempt to solve: Simplifying 2 + -5e = 0 Solving 2 + -5e = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5e = 0 + -2 -5e = 0 + -2 Combine like terms: 0 + -2 = -2 -5e = -2 Divide each side by '-5'. e = 0.4 Simplifying e = 0.4Solution
e = {0.4}
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