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Simplifying 7e2x + -5 = 27 Reorder the terms: -5 + 7e2x = 27 Solving -5 + 7e2x = 27 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7e2x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 7e2x = 27 + 5 7e2x = 27 + 5 Combine like terms: 27 + 5 = 32 7e2x = 32 Divide each side by '7x'. e2 = 4.571428571x-1 Simplifying e2 = 4.571428571x-1 Combine like terms: 4.571428571x-1 + -4.571428571x-1 = 0.000000000 e2 + -4.571428571x-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -4.571428571) = 0.000000000Subproblem 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 + -4.571428571)' equal to zero and attempt to solve: Simplifying e2x + -4.571428571 = 0 Reorder the terms: -4.571428571 + e2x = 0 Solving -4.571428571 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '4.571428571' to each side of the equation. -4.571428571 + 4.571428571 + e2x = 0 + 4.571428571 Combine like terms: -4.571428571 + 4.571428571 = 0.000000000 0.000000000 + e2x = 0 + 4.571428571 e2x = 0 + 4.571428571 Combine like terms: 0 + 4.571428571 = 4.571428571 e2x = 4.571428571 Divide each side by 'x'. e2 = 4.571428571x-1 Simplifying e2 = 4.571428571x-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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