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Simplifying e4z + 1 = 0 Reorder the terms: 1 + e4z = 0 Solving 1 + e4z = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e4z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e4z = 0 + -1 e4z = 0 + -1 Combine like terms: 0 + -1 = -1 e4z = -1 Divide each side by 'z'. e4 = -1z-1 Simplifying e4 = -1z-1 Combine like terms: -1z-1 + z-1 = 0 e4 + z-1 = 0 Factor out the Greatest Common Factor (GCF), 'z-1'. z-1(e4z + 1) = 0Subproblem 1
Set the factor 'z-1' equal to zero and attempt to solve: Simplifying z-1 = 0 Solving z-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1z-1' to each side of the equation. z-1 + -1z-1 = 0 + -1z-1 Remove the zero: 0 = -1z-1 Simplifying 0 = -1z-1 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 '(e4z + 1)' equal to zero and attempt to solve: Simplifying e4z + 1 = 0 Reorder the terms: 1 + e4z = 0 Solving 1 + e4z = 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 + e4z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e4z = 0 + -1 e4z = 0 + -1 Combine like terms: 0 + -1 = -1 e4z = -1 Divide each side by 'z'. e4 = -1z-1 Simplifying e4 = -1z-1 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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