200=1200e^9k

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Solution for 200=1200e^9k equation:


Simplifying
200 = 1200e9k

Solving
200 = 1200e9k

Solving for variable 'e'.

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

Add '-1200e9k' to each side of the equation.
200 + -1200e9k = 1200e9k + -1200e9k

Combine like terms: 1200e9k + -1200e9k = 0
200 + -1200e9k = 0

Add '-200' to each side of the equation.
200 + -200 + -1200e9k = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -1200e9k = 0 + -200
-1200e9k = 0 + -200

Combine like terms: 0 + -200 = -200
-1200e9k = -200

Divide each side by '-1200k'.
e9 = 0.1666666667k-1

Simplifying
e9 = 0.1666666667k-1

Combine like terms: 0.1666666667k-1 + -0.1666666667k-1 = 0.0000000000
e9 + -0.1666666667k-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e9k + -0.1666666667) = 0.0000000000

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 '(e9k + -0.1666666667)' equal to zero and attempt to solve: Simplifying e9k + -0.1666666667 = 0 Reorder the terms: -0.1666666667 + e9k = 0 Solving -0.1666666667 + e9k = 0 Move all terms containing e to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + e9k = 0 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + e9k = 0 + 0.1666666667 e9k = 0 + 0.1666666667 Combine like terms: 0 + 0.1666666667 = 0.1666666667 e9k = 0.1666666667 Divide each side by 'k'. e9 = 0.1666666667k-1 Simplifying e9 = 0.1666666667k-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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