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Simplifying 1 + -1e3k = 5 Solving 1 + -1e3k = 5 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1e3k = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1e3k = 5 + -1 -1e3k = 5 + -1 Combine like terms: 5 + -1 = 4 -1e3k = 4 Divide each side by '-1k'. e3 = -4k-1 Simplifying e3 = -4k-1 Combine like terms: -4k-1 + 4k-1 = 0 e3 + 4k-1 = 0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e3k + 4) = 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 + 4)' equal to zero and attempt to solve: Simplifying e3k + 4 = 0 Reorder the terms: 4 + e3k = 0 Solving 4 + e3k = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + e3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + e3k = 0 + -4 e3k = 0 + -4 Combine like terms: 0 + -4 = -4 e3k = -4 Divide each side by 'k'. e3 = -4k-1 Simplifying e3 = -4k-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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