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Simplifying 20 = 10e2k Solving 20 = 10e2k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10e2k' to each side of the equation. 20 + -10e2k = 10e2k + -10e2k Combine like terms: 10e2k + -10e2k = 0 20 + -10e2k = 0 Add '-20' to each side of the equation. 20 + -20 + -10e2k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -10e2k = 0 + -20 -10e2k = 0 + -20 Combine like terms: 0 + -20 = -20 -10e2k = -20 Divide each side by '-10k'. e2 = 2k-1 Simplifying e2 = 2k-1 Combine like terms: 2k-1 + -2k-1 = 0 e2 + -2k-1 = 0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e2k + -2) = 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 + -2)' equal to zero and attempt to solve: Simplifying e2k + -2 = 0 Reorder the terms: -2 + e2k = 0 Solving -2 + e2k = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e2k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e2k = 0 + 2 e2k = 0 + 2 Combine like terms: 0 + 2 = 2 e2k = 2 Divide each side by 'k'. e2 = 2k-1 Simplifying e2 = 2k-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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