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Simplifying 6 + e2x + -8 = 24 Reorder the terms: 6 + -8 + e2x = 24 Combine like terms: 6 + -8 = -2 -2 + e2x = 24 Solving -2 + e2x = 24 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e2x = 24 + 2 Combine like terms: -2 + 2 = 0 0 + e2x = 24 + 2 e2x = 24 + 2 Combine like terms: 24 + 2 = 26 e2x = 26 Divide each side by 'x'. e2 = 26x-1 Simplifying e2 = 26x-1 Combine like terms: 26x-1 + -26x-1 = 0 e2 + -26x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -26) = 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 + -26)' equal to zero and attempt to solve: Simplifying e2x + -26 = 0 Reorder the terms: -26 + e2x = 0 Solving -26 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + e2x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + e2x = 0 + 26 e2x = 0 + 26 Combine like terms: 0 + 26 = 26 e2x = 26 Divide each side by 'x'. e2 = 26x-1 Simplifying e2 = 26x-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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