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Simplifying e3x = 4e2x Solving e3x = 4e2x Solving for variable 'e'. Reorder the terms: -4e2x + e3x = 4e2x + -4e2x Combine like terms: 4e2x + -4e2x = 0 -4e2x + e3x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(-4 + e) = 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 '(-4 + e)' equal to zero and attempt to solve: Simplifying -4 + e = 0 Solving -4 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + e = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e = 0 + 4 e = 0 + 4 Combine like terms: 0 + 4 = 4 e = 4 Simplifying e = 4Solution
e = {4}
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