12e^4t=200

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Solution for 12e^4t=200 equation: 


Simplifying
12e4t = 200

Solving
12e4t = 200

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '12t'.
e4 = 16.66666667t-1

Simplifying
e4 = 16.66666667t-1

Combine like terms: 16.66666667t-1 + -16.66666667t-1 = 0.00000000
e4 + -16.66666667t-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e4t + -16.66666667) = 0.00000000


Subproblem 1
Set the factor 't-1' equal to zero and attempt to solve:

Simplifying
t-1 = 0

Solving
t-1 = 0

Move all terms containing e to the left, all other terms to the right.

Add '-1t-1' to each side of the equation.
t-1 + -1t-1 = 0 + -1t-1
Remove the zero:
0 = -1t-1

Simplifying
0 = -1t-1

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 '(e4t + -16.66666667)' equal to zero and attempt to solve:

Simplifying
e4t + -16.66666667 = 0

Reorder the terms:
-16.66666667 + e4t = 0

Solving
-16.66666667 + e4t = 0

Move all terms containing e to the left, all other terms to the right.

Add '16.66666667' to each side of the equation.
-16.66666667 + 16.66666667 + e4t = 0 + 16.66666667

Combine like terms: -16.66666667 + 16.66666667 = 0.00000000
0.00000000 + e4t = 0 + 16.66666667
e4t = 0 + 16.66666667

Combine like terms: 0 + 16.66666667 = 16.66666667
e4t = 16.66666667

Divide each side by 't'.
e4 = 16.66666667t-1

Simplifying
e4 = 16.66666667t-1

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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