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Simplifying 13 = 6e2k Solving 13 = 6e2k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e2k' to each side of the equation. 13 + -6e2k = 6e2k + -6e2k Combine like terms: 6e2k + -6e2k = 0 13 + -6e2k = 0 Add '-13' to each side of the equation. 13 + -13 + -6e2k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6e2k = 0 + -13 -6e2k = 0 + -13 Combine like terms: 0 + -13 = -13 -6e2k = -13 Divide each side by '-6k'. e2 = 2.166666667k-1 Simplifying e2 = 2.166666667k-1 Combine like terms: 2.166666667k-1 + -2.166666667k-1 = 0.000000000 e2 + -2.166666667k-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e2k + -2.166666667) = 0.000000000Subproblem 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 + -2.166666667)' equal to zero and attempt to solve: Simplifying e2k + -2.166666667 = 0 Reorder the terms: -2.166666667 + e2k = 0 Solving -2.166666667 + e2k = 0 Move all terms containing e to the left, all other terms to the right. Add '2.166666667' to each side of the equation. -2.166666667 + 2.166666667 + e2k = 0 + 2.166666667 Combine like terms: -2.166666667 + 2.166666667 = 0.000000000 0.000000000 + e2k = 0 + 2.166666667 e2k = 0 + 2.166666667 Combine like terms: 0 + 2.166666667 = 2.166666667 e2k = 2.166666667 Divide each side by 'k'. e2 = 2.166666667k-1 Simplifying e2 = 2.166666667k-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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