4e^8t=6e^7t

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Solution for 4e^8t=6e^7t equation:


Simplifying
4e8t = 6e7t

Solving
4e8t = 6e7t

Solving for variable 'e'.

Reorder the terms:
-6e7t + 4e8t = 6e7t + -6e7t

Combine like terms: 6e7t + -6e7t = 0
-6e7t + 4e8t = 0

Factor out the Greatest Common Factor (GCF), '2e7t'.
2e7t(-3 + 2e) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'e7t' equal to zero and attempt to solve: Simplifying e7t = 0 Solving e7t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e7t = 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 + 2e)' equal to zero and attempt to solve: Simplifying -3 + 2e = 0 Solving -3 + 2e = 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 + 2e = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2e = 0 + 3 2e = 0 + 3 Combine like terms: 0 + 3 = 3 2e = 3 Divide each side by '2'. e = 1.5 Simplifying e = 1.5

Solution

e = {1.5}

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