2e^3k=-6

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Solution for 2e^3k=-6 equation:


Simplifying
2e3k = -6

Solving
2e3k = -6

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '2k'.
e3 = -3k-1

Simplifying
e3 = -3k-1

Combine like terms: -3k-1 + 3k-1 = 0
e3 + 3k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e3k + 3) = 0

Subproblem 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 + 3)' equal to zero and attempt to solve: Simplifying e3k + 3 = 0 Reorder the terms: 3 + e3k = 0 Solving 3 + e3k = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + e3k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + e3k = 0 + -3 e3k = 0 + -3 Combine like terms: 0 + -3 = -3 e3k = -3 Divide each side by 'k'. e3 = -3k-1 Simplifying e3 = -3k-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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