8e^7t=12e^6t

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Solution for 8e^7t=12e^6t equation:


Simplifying
8e7t = 12e6t

Solving
8e7t = 12e6t

Solving for variable 'e'.

Reorder the terms:
-12e6t + 8e7t = 12e6t + -12e6t

Combine like terms: 12e6t + -12e6t = 0
-12e6t + 8e7t = 0

Factor out the Greatest Common Factor (GCF), '4e6t'.
4e6t(-3 + 2e) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'e6t' equal to zero and attempt to solve: Simplifying e6t = 0 Solving e6t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6t = 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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