2e^6t=4e^5t

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Solution for 2e^6t=4e^5t equation:


Simplifying
2e6t = 4e5t

Solving
2e6t = 4e5t

Solving for variable 'e'.

Reorder the terms:
-4e5t + 2e6t = 4e5t + -4e5t

Combine like terms: 4e5t + -4e5t = 0
-4e5t + 2e6t = 0

Factor out the Greatest Common Factor (GCF), '2e5t'.
2e5t(-2 + e) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'e5t' equal to zero and attempt to solve: Simplifying e5t = 0 Solving e5t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e5t = 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 '(-2 + e)' equal to zero and attempt to solve: Simplifying -2 + e = 0 Solving -2 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e = 0 + 2 e = 0 + 2 Combine like terms: 0 + 2 = 2 e = 2 Simplifying e = 2

Solution

e = {2}

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