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Simplifying 64 = e4k Solving 64 = e4k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e4k' to each side of the equation. 64 + -1e4k = e4k + -1e4k Combine like terms: e4k + -1e4k = 0 64 + -1e4k = 0 Add '-64' to each side of the equation. 64 + -64 + -1e4k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1e4k = 0 + -64 -1e4k = 0 + -64 Combine like terms: 0 + -64 = -64 -1e4k = -64 Divide each side by '-1k'. e4 = 64k-1 Simplifying e4 = 64k-1 Combine like terms: 64k-1 + -64k-1 = 0 e4 + -64k-1 = 0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e4k + -64) = 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 '(e4k + -64)' equal to zero and attempt to solve: Simplifying e4k + -64 = 0 Reorder the terms: -64 + e4k = 0 Solving -64 + e4k = 0 Move all terms containing e to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + e4k = 0 + 64 Combine like terms: -64 + 64 = 0 0 + e4k = 0 + 64 e4k = 0 + 64 Combine like terms: 0 + 64 = 64 e4k = 64 Divide each side by 'k'. e4 = 64k-1 Simplifying e4 = 64k-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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