20e^4t=11e^9t

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Solution for 20e^4t=11e^9t equation:


Simplifying
20e4t = 11e9t

Solving
20e4t = 11e9t

Solving for variable 'e'.

Combine like terms: 11e9t + -11e9t = 0
20e4t + -11e9t = 0

Factor out the Greatest Common Factor (GCF), 'e4t'.
e4t(20 + -11e5) = 0

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 '(20 + -11e5)' equal to zero and attempt to solve: Simplifying 20 + -11e5 = 0 Solving 20 + -11e5 = 0 Move all terms containing e to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -11e5 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -11e5 = 0 + -20 -11e5 = 0 + -20 Combine like terms: 0 + -20 = -20 -11e5 = -20 Divide each side by '-11'. e5 = 1.818181818 Simplifying e5 = 1.818181818 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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