14e^6t=11e^5t

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Solution for 14e^6t=11e^5t equation:


Simplifying
14e6t = 11e5t

Solving
14e6t = 11e5t

Solving for variable 'e'.

Reorder the terms:
-11e5t + 14e6t = 11e5t + -11e5t

Combine like terms: 11e5t + -11e5t = 0
-11e5t + 14e6t = 0

Factor out the Greatest Common Factor (GCF), 'e5t'.
e5t(-11 + 14e) = 0

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 '(-11 + 14e)' equal to zero and attempt to solve: Simplifying -11 + 14e = 0 Solving -11 + 14e = 0 Move all terms containing e to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 14e = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14e = 0 + 11 14e = 0 + 11 Combine like terms: 0 + 11 = 11 14e = 11 Divide each side by '14'. e = 0.7857142857 Simplifying e = 0.7857142857

Solution

e = {0.7857142857}

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