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Simplifying 4 = e2k Solving 4 = 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. 4 + -1e2k = e2k + -1e2k Combine like terms: e2k + -1e2k = 0 4 + -1e2k = 0 Add '-4' to each side of the equation. 4 + -4 + -1e2k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1e2k = 0 + -4 -1e2k = 0 + -4 Combine like terms: 0 + -4 = -4 -1e2k = -4 Divide each side by '-1k'. e2 = 4k-1 Simplifying e2 = 4k-1 Combine like terms: 4k-1 + -4k-1 = 0 e2 + -4k-1 = 0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e2k + -4) = 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 + -4)' equal to zero and attempt to solve: Simplifying e2k + -4 = 0 Reorder the terms: -4 + e2k = 0 Solving -4 + e2k = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + e2k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e2k = 0 + 4 e2k = 0 + 4 Combine like terms: 0 + 4 = 4 e2k = 4 Divide each side by 'k'. e2 = 4k-1 Simplifying e2 = 4k-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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