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Simplifying 5e3x = 8e2x Solving 5e3x = 8e2x Solving for variable 'e'. Reorder the terms: -8e2x + 5e3x = 8e2x + -8e2x Combine like terms: 8e2x + -8e2x = 0 -8e2x + 5e3x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(-8 + 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 '(-8 + 5e)' equal to zero and attempt to solve: Simplifying -8 + 5e = 0 Solving -8 + 5e = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5e = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5e = 0 + 8 5e = 0 + 8 Combine like terms: 0 + 8 = 8 5e = 8 Divide each side by '5'. e = 1.6 Simplifying e = 1.6Solution
e = {1.6}
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