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Simplifying 47 = e2x + -1 Reorder the terms: 47 = -1 + e2x Solving 47 = -1 + e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e2x' to each side of the equation. 47 + -1e2x = -1 + e2x + -1e2x Combine like terms: e2x + -1e2x = 0 47 + -1e2x = -1 + 0 47 + -1e2x = -1 Add '-47' to each side of the equation. 47 + -47 + -1e2x = -1 + -47 Combine like terms: 47 + -47 = 0 0 + -1e2x = -1 + -47 -1e2x = -1 + -47 Combine like terms: -1 + -47 = -48 -1e2x = -48 Divide each side by '-1x'. e2 = 48x-1 Simplifying e2 = 48x-1 Combine like terms: 48x-1 + -48x-1 = 0 e2 + -48x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -48) = 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 + -48)' equal to zero and attempt to solve: Simplifying e2x + -48 = 0 Reorder the terms: -48 + e2x = 0 Solving -48 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + e2x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + e2x = 0 + 48 e2x = 0 + 48 Combine like terms: 0 + 48 = 48 e2x = 48 Divide each side by 'x'. e2 = 48x-1 Simplifying e2 = 48x-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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