3e^2x-5=15

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Solution for 3e^2x-5=15 equation: 


Simplifying
3e2x + -5 = 15

Reorder the terms:
-5 + 3e2x = 15

Solving
-5 + 3e2x = 15

Solving for variable 'e'.

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

Add '5' to each side of the equation.
-5 + 5 + 3e2x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 3e2x = 15 + 5
3e2x = 15 + 5

Combine like terms: 15 + 5 = 20
3e2x = 20

Divide each side by '3x'.
e2 = 6.666666667x-1

Simplifying
e2 = 6.666666667x-1

Combine like terms: 6.666666667x-1 + -6.666666667x-1 = 0.000000000
e2 + -6.666666667x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -6.666666667) = 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 + -6.666666667)' equal to zero and attempt to solve:

Simplifying
e2x + -6.666666667 = 0

Reorder the terms:
-6.666666667 + e2x = 0

Solving
-6.666666667 + e2x = 0

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

Add '6.666666667' to each side of the equation.
-6.666666667 + 6.666666667 + e2x = 0 + 6.666666667

Combine like terms: -6.666666667 + 6.666666667 = 0.000000000
0.000000000 + e2x = 0 + 6.666666667
e2x = 0 + 6.666666667

Combine like terms: 0 + 6.666666667 = 6.666666667
e2x = 6.666666667

Divide each side by 'x'.
e2 = 6.666666667x-1

Simplifying
e2 = 6.666666667x-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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