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Simplifying 54 = 4e3k Solving 54 = 4e3k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e3k' to each side of the equation. 54 + -4e3k = 4e3k + -4e3k Combine like terms: 4e3k + -4e3k = 0 54 + -4e3k = 0 Add '-54' to each side of the equation. 54 + -54 + -4e3k = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -4e3k = 0 + -54 -4e3k = 0 + -54 Combine like terms: 0 + -54 = -54 -4e3k = -54 Divide each side by '-4k'. e3 = 13.5k-1 Simplifying e3 = 13.5k-1 Combine like terms: 13.5k-1 + -13.5k-1 = 0.0 e3 + -13.5k-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e3k + -13.5) = 0.0Subproblem 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 '(e3k + -13.5)' equal to zero and attempt to solve: Simplifying e3k + -13.5 = 0 Reorder the terms: -13.5 + e3k = 0 Solving -13.5 + e3k = 0 Move all terms containing e to the left, all other terms to the right. Add '13.5' to each side of the equation. -13.5 + 13.5 + e3k = 0 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + e3k = 0 + 13.5 e3k = 0 + 13.5 Combine like terms: 0 + 13.5 = 13.5 e3k = 13.5 Divide each side by 'k'. e3 = 13.5k-1 Simplifying e3 = 13.5k-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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