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Simplifying 5 = e2k Solving 5 = e2k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e2k' to each side of the equation. 5 + -1e2k = e2k + -1e2k Combine like terms: e2k + -1e2k = 0 5 + -1e2k = 0 Add '-5' to each side of the equation. 5 + -5 + -1e2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1e2k = 0 + -5 -1e2k = 0 + -5 Combine like terms: 0 + -5 = -5 -1e2k = -5 Divide each side by '-1k'. e2 = 5k-1 Simplifying e2 = 5k-1 Combine like terms: 5k-1 + -5k-1 = 0 e2 + -5k-1 = 0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e2k + -5) = 0Subproblem 1
Set the factor 'k-1' equal to zero and attempt to solve: Simplifying k-1 = 0 Solving k-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1k-1' to each side of the equation. k-1 + -1k-1 = 0 + -1k-1 Remove the zero: 0 = -1k-1 Simplifying 0 = -1k-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 '(e2k + -5)' equal to zero and attempt to solve: Simplifying e2k + -5 = 0 Reorder the terms: -5 + e2k = 0 Solving -5 + e2k = 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 + e2k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + e2k = 0 + 5 e2k = 0 + 5 Combine like terms: 0 + 5 = 5 e2k = 5 Divide each side by 'k'. e2 = 5k-1 Simplifying e2 = 5k-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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