6e^2x-4e^2x=5

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Solution for 6e^2x-4e^2x=5 equation: 


Simplifying
6e2x + -4e2x = 5

Combine like terms: 6e2x + -4e2x = 2e2x
2e2x = 5

Solving
2e2x = 5

Solving for variable 'e'.

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

Divide each side by '2x'.
e2 = 2.5x-1

Simplifying
e2 = 2.5x-1

Combine like terms: 2.5x-1 + -2.5x-1 = 0.0
e2 + -2.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -2.5) = 0.0


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 + -2.5)' equal to zero and attempt to solve:

Simplifying
e2x + -2.5 = 0

Reorder the terms:
-2.5 + e2x = 0

Solving
-2.5 + e2x = 0

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + e2x = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + e2x = 0 + 2.5
e2x = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
e2x = 2.5

Divide each side by 'x'.
e2 = 2.5x-1

Simplifying
e2 = 2.5x-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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