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Simplifying 5e2x = 8e3x Solving 5e2x = 8e3x Solving for variable 'e'. Combine like terms: 8e3x + -8e3x = 0 5e2x + -8e3x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(5 + -8e) = 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 '(5 + -8e)' equal to zero and attempt to solve: Simplifying 5 + -8e = 0 Solving 5 + -8e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8e = 0 + -5 -8e = 0 + -5 Combine like terms: 0 + -5 = -5 -8e = -5 Divide each side by '-8'. e = 0.625 Simplifying e = 0.625Solution
e = {0.625}
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