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Simplifying 2e3x + 1 = 11 Reorder the terms: 1 + 2e3x = 11 Solving 1 + 2e3x = 11 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 + 2e3x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2e3x = 11 + -1 2e3x = 11 + -1 Combine like terms: 11 + -1 = 10 2e3x = 10 Divide each side by '2x'. e3 = 5x-1 Simplifying e3 = 5x-1 Combine like terms: 5x-1 + -5x-1 = 0 e3 + -5x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -5) = 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 '(e3x + -5)' equal to zero and attempt to solve: Simplifying e3x + -5 = 0 Reorder the terms: -5 + e3x = 0 Solving -5 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + e3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + e3x = 0 + 5 e3x = 0 + 5 Combine like terms: 0 + 5 = 5 e3x = 5 Divide each side by 'x'. e3 = 5x-1 Simplifying e3 = 5x-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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