14=25(1-e^15k)

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Solution for 14=25(1-e^15k) equation:


Simplifying
14 = 25(1 + -1e15k)
14 = (1 * 25 + -1e15k * 25)
14 = (25 + -25e15k)

Solving
14 = 25 + -25e15k

Solving for variable 'e'.

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

Add '25e15k' to each side of the equation.
14 + 25e15k = 25 + -25e15k + 25e15k

Combine like terms: -25e15k + 25e15k = 0
14 + 25e15k = 25 + 0
14 + 25e15k = 25

Add '-14' to each side of the equation.
14 + -14 + 25e15k = 25 + -14

Combine like terms: 14 + -14 = 0
0 + 25e15k = 25 + -14
25e15k = 25 + -14

Combine like terms: 25 + -14 = 11
25e15k = 11

Divide each side by '25k'.
e15 = 0.44k-1

Simplifying
e15 = 0.44k-1

Combine like terms: 0.44k-1 + -0.44k-1 = 0.00
e15 + -0.44k-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e15k + -0.44) = 0.00

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 '(e15k + -0.44)' equal to zero and attempt to solve: Simplifying e15k + -0.44 = 0 Reorder the terms: -0.44 + e15k = 0 Solving -0.44 + e15k = 0 Move all terms containing e to the left, all other terms to the right. Add '0.44' to each side of the equation. -0.44 + 0.44 + e15k = 0 + 0.44 Combine like terms: -0.44 + 0.44 = 0.00 0.00 + e15k = 0 + 0.44 e15k = 0 + 0.44 Combine like terms: 0 + 0.44 = 0.44 e15k = 0.44 Divide each side by 'k'. e15 = 0.44k-1 Simplifying e15 = 0.44k-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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