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Simplifying e4x + -4e2x = 0 Reorder the terms: -4e2x + e4x = 0 Solving -4e2x + e4x = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(-4 + e2) = 0 Factor a difference between two squares. e2x((2 + e)(-2 + 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 '(2 + e)' equal to zero and attempt to solve: Simplifying 2 + e = 0 Solving 2 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + e = 0 + -2 e = 0 + -2 Combine like terms: 0 + -2 = -2 e = -2 Simplifying e = -2Subproblem 3
Set the factor '(-2 + e)' equal to zero and attempt to solve: Simplifying -2 + e = 0 Solving -2 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e = 0 + 2 e = 0 + 2 Combine like terms: 0 + 2 = 2 e = 2 Simplifying e = 2Solution
e = {-2, 2}
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