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Simplifying e2x + 8 = 2 Reorder the terms: 8 + e2x = 2 Solving 8 + e2x = 2 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + e2x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + e2x = 2 + -8 e2x = 2 + -8 Combine like terms: 2 + -8 = -6 e2x = -6 Divide each side by 'x'. e2 = -6x-1 Simplifying e2 = -6x-1 Combine like terms: -6x-1 + 6x-1 = 0 e2 + 6x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + 6) = 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 + 6)' equal to zero and attempt to solve: Simplifying e2x + 6 = 0 Reorder the terms: 6 + e2x = 0 Solving 6 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + e2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + e2x = 0 + -6 e2x = 0 + -6 Combine like terms: 0 + -6 = -6 e2x = -6 Divide each side by 'x'. e2 = -6x-1 Simplifying e2 = -6x-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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