400e^4k=200e^3K

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Solution for 400e^4k=200e^3K equation:


Simplifying
400e4k = 200e3K

Solving
400e4k = 200e3K

Solving for variable 'e'.

Reorder the terms:
-200e3K + 400e4k = 200e3K + -200e3K

Combine like terms: 200e3K + -200e3K = 0
-200e3K + 400e4k = 0

Factor out the Greatest Common Factor (GCF), '200e3'.
200e3(-1K + 2ek) = 0

Ignore the factor 200.

Subproblem 1

Set the factor 'e3' equal to zero and attempt to solve: Simplifying e3 = 0 Solving e3 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3 = 0 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 '(-1K + 2ek)' equal to zero and attempt to solve: Simplifying -1K + 2ek = 0 Solving -1K + 2ek = 0 Move all terms containing e to the left, all other terms to the right. Add 'K' to each side of the equation. -1K + K + 2ek = 0 + K Combine like terms: -1K + K = 0 0 + 2ek = 0 + K 2ek = 0 + K Remove the zero: 2ek = K Divide each side by '2k'. e = 0.5k-1K Simplifying e = 0.5k-1K

Solution

e = {0.5k-1K}

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