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Simplifying 4e4x + e2x = 0 Reorder the terms: e2x + 4e4x = 0 Solving e2x + 4e4x = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(1 + 4e2) = 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 '(1 + 4e2)' equal to zero and attempt to solve: Simplifying 1 + 4e2 = 0 Solving 1 + 4e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4e2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4e2 = 0 + -1 4e2 = 0 + -1 Combine like terms: 0 + -1 = -1 4e2 = -1 Divide each side by '4'. e2 = -0.25 Simplifying e2 = -0.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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