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Simplifying e2x + 1 = 42 Reorder the terms: 1 + e2x = 42 Solving 1 + e2x = 42 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 + e2x = 42 + -1 Combine like terms: 1 + -1 = 0 0 + e2x = 42 + -1 e2x = 42 + -1 Combine like terms: 42 + -1 = 41 e2x = 41 Divide each side by 'x'. e2 = 41x-1 Simplifying e2 = 41x-1 Combine like terms: 41x-1 + -41x-1 = 0 e2 + -41x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -41) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e2x + -41)' equal to zero and attempt to solve: Simplifying e2x + -41 = 0 Reorder the terms: -41 + e2x = 0 Solving -41 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + e2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + e2x = 0 + 41 e2x = 0 + 41 Combine like terms: 0 + 41 = 41 e2x = 41 Divide each side by 'x'. e2 = 41x-1 Simplifying e2 = 41x-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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