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Simplifying 48 = 6(e4k) Solving 48 = 6e4k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e4k' to each side of the equation. 48 + -6e4k = 6e4k + -6e4k Combine like terms: 6e4k + -6e4k = 0 48 + -6e4k = 0 Add '-48' to each side of the equation. 48 + -48 + -6e4k = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -6e4k = 0 + -48 -6e4k = 0 + -48 Combine like terms: 0 + -48 = -48 -6e4k = -48 Divide each side by '-6k'. e4 = 8k-1 Simplifying e4 = 8k-1 Combine like terms: 8k-1 + -8k-1 = 0 e4 + -8k-1 = 0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e4k + -8) = 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 + -8)' equal to zero and attempt to solve: Simplifying e4k + -8 = 0 Reorder the terms: -8 + e4k = 0 Solving -8 + e4k = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + e4k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e4k = 0 + 8 e4k = 0 + 8 Combine like terms: 0 + 8 = 8 e4k = 8 Divide each side by 'k'. e4 = 8k-1 Simplifying e4 = 8k-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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