6e^2x+11=25

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Solution for 6e^2x+11=25 equation: 


Simplifying
6e2x + 11 = 25

Reorder the terms:
11 + 6e2x = 25

Solving
11 + 6e2x = 25

Solving for variable 'e'.

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

Add '-11' to each side of the equation.
11 + -11 + 6e2x = 25 + -11

Combine like terms: 11 + -11 = 0
0 + 6e2x = 25 + -11
6e2x = 25 + -11

Combine like terms: 25 + -11 = 14
6e2x = 14

Divide each side by '6x'.
e2 = 2.333333333x-1

Simplifying
e2 = 2.333333333x-1

Combine like terms: 2.333333333x-1 + -2.333333333x-1 = 0.000000000
e2 + -2.333333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -2.333333333) = 0.000000000


Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve:

Simplifying
x-1 = 0

Solving
x-1 = 0

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

Add '-1x-1' to each side of the equation.
x-1 + -1x-1 = 0 + -1x-1
Remove the zero:
0 = -1x-1

Simplifying
0 = -1x-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 '(e2x + -2.333333333)' equal to zero and attempt to solve:

Simplifying
e2x + -2.333333333 = 0

Reorder the terms:
-2.333333333 + e2x = 0

Solving
-2.333333333 + e2x = 0

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

Add '2.333333333' to each side of the equation.
-2.333333333 + 2.333333333 + e2x = 0 + 2.333333333

Combine like terms: -2.333333333 + 2.333333333 = 0.000000000
0.000000000 + e2x = 0 + 2.333333333
e2x = 0 + 2.333333333

Combine like terms: 0 + 2.333333333 = 2.333333333
e2x = 2.333333333

Divide each side by 'x'.
e2 = 2.333333333x-1

Simplifying
e2 = 2.333333333x-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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