9e^5t=12e^4t

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Solution for 9e^5t=12e^4t equation:


Simplifying
9e5t = 12e4t

Solving
9e5t = 12e4t

Solving for variable 'e'.

Reorder the terms:
-12e4t + 9e5t = 12e4t + -12e4t

Combine like terms: 12e4t + -12e4t = 0
-12e4t + 9e5t = 0

Factor out the Greatest Common Factor (GCF), '3e4t'.
3e4t(-4 + 3e) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'e4t' equal to zero and attempt to solve: Simplifying e4t = 0 Solving e4t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4t = 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 '(-4 + 3e)' equal to zero and attempt to solve: Simplifying -4 + 3e = 0 Solving -4 + 3e = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3e = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3e = 0 + 4 3e = 0 + 4 Combine like terms: 0 + 4 = 4 3e = 4 Divide each side by '3'. e = 1.333333333 Simplifying e = 1.333333333

Solution

e = {1.333333333}

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