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Simplifying 8000 = 1500e3k Solving 8000 = 1500e3k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1500e3k' to each side of the equation. 8000 + -1500e3k = 1500e3k + -1500e3k Combine like terms: 1500e3k + -1500e3k = 0 8000 + -1500e3k = 0 Add '-8000' to each side of the equation. 8000 + -8000 + -1500e3k = 0 + -8000 Combine like terms: 8000 + -8000 = 0 0 + -1500e3k = 0 + -8000 -1500e3k = 0 + -8000 Combine like terms: 0 + -8000 = -8000 -1500e3k = -8000 Divide each side by '-1500k'. e3 = 5.333333333k-1 Simplifying e3 = 5.333333333k-1 Combine like terms: 5.333333333k-1 + -5.333333333k-1 = 0.000000000 e3 + -5.333333333k-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e3k + -5.333333333) = 0.000000000Subproblem 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 + -5.333333333)' equal to zero and attempt to solve: Simplifying e3k + -5.333333333 = 0 Reorder the terms: -5.333333333 + e3k = 0 Solving -5.333333333 + e3k = 0 Move all terms containing e to the left, all other terms to the right. Add '5.333333333' to each side of the equation. -5.333333333 + 5.333333333 + e3k = 0 + 5.333333333 Combine like terms: -5.333333333 + 5.333333333 = 0.000000000 0.000000000 + e3k = 0 + 5.333333333 e3k = 0 + 5.333333333 Combine like terms: 0 + 5.333333333 = 5.333333333 e3k = 5.333333333 Divide each side by 'k'. e3 = 5.333333333k-1 Simplifying e3 = 5.333333333k-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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