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Simplifying 3e2x + 1 = 50 Reorder the terms: 1 + 3e2x = 50 Solving 1 + 3e2x = 50 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 + 3e2x = 50 + -1 Combine like terms: 1 + -1 = 0 0 + 3e2x = 50 + -1 3e2x = 50 + -1 Combine like terms: 50 + -1 = 49 3e2x = 49 Divide each side by '3x'. e2 = 16.33333333x-1 Simplifying e2 = 16.33333333x-1 Combine like terms: 16.33333333x-1 + -16.33333333x-1 = 0.00000000 e2 + -16.33333333x-1 = 0.00000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -16.33333333) = 0.00000000Subproblem 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 + -16.33333333)' equal to zero and attempt to solve: Simplifying e2x + -16.33333333 = 0 Reorder the terms: -16.33333333 + e2x = 0 Solving -16.33333333 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '16.33333333' to each side of the equation. -16.33333333 + 16.33333333 + e2x = 0 + 16.33333333 Combine like terms: -16.33333333 + 16.33333333 = 0.00000000 0.00000000 + e2x = 0 + 16.33333333 e2x = 0 + 16.33333333 Combine like terms: 0 + 16.33333333 = 16.33333333 e2x = 16.33333333 Divide each side by 'x'. e2 = 16.33333333x-1 Simplifying e2 = 16.33333333x-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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