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Simplifying e4x = 5e2x Solving e4x = 5e2x Solving for variable 'e'. Reorder the terms: -5e2x + e4x = 5e2x + -5e2x Combine like terms: 5e2x + -5e2x = 0 -5e2x + e4x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(-5 + e2) = 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 + e2)' equal to zero and attempt to solve: Simplifying -5 + e2 = 0 Solving -5 + e2 = 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 + e2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + e2 = 0 + 5 e2 = 0 + 5 Combine like terms: 0 + 5 = 5 e2 = 5 Simplifying e2 = 5 Take the square root of each side: e = {-2.236067978, 2.236067978}Solution
e = {-2.236067978, 2.236067978}
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