20e^8t=12e^5t

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Solution for 20e^8t=12e^5t equation:


Simplifying
20e8t = 12e5t

Solving
20e8t = 12e5t

Solving for variable 'e'.

Reorder the terms:
-12e5t + 20e8t = 12e5t + -12e5t

Combine like terms: 12e5t + -12e5t = 0
-12e5t + 20e8t = 0

Factor out the Greatest Common Factor (GCF), '4e5t'.
4e5t(-3 + 5e3) = 0

Ignore the factor 4.

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 '(-3 + 5e3)' equal to zero and attempt to solve: Simplifying -3 + 5e3 = 0 Solving -3 + 5e3 = 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 + 5e3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5e3 = 0 + 3 5e3 = 0 + 3 Combine like terms: 0 + 3 = 3 5e3 = 3 Divide each side by '5'. e3 = 0.6 Simplifying e3 = 0.6 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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