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Simplifying e4x = 5e2 Solving e4x = 5e2 Solving for variable 'e'. Reorder the terms: -5e2 + e4x = 5e2 + -5e2 Combine like terms: 5e2 + -5e2 = 0 -5e2 + e4x = 0 Factor out the Greatest Common Factor (GCF), 'e2'. e2(-5 + e2x) = 0Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve: Simplifying e2 = 0 Solving e2 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2 = 0 Take the square root of each side: e = {0}Subproblem 2
Set the factor '(-5 + e2x)' equal to zero and attempt to solve: Simplifying -5 + e2x = 0 Solving -5 + e2x = 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 + e2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + e2x = 0 + 5 e2x = 0 + 5 Combine like terms: 0 + 5 = 5 e2x = 5 Divide each side by 'x'. e2 = 5x-1 Simplifying e2 = 5x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
e = {0}
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