2e^5x=(e^5x)+e^10

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Solution for 2e^5x=(e^5x)+e^10 equation: 


Simplifying
2e5x = (e5x) + e10
2e5x = e5x + e10

Solving
2e5x = e5x + e10

Solving for variable 'e'.

Combine like terms: 2e5x + -1e5x = 1e5x
1e5x + -1e10 = e5x + e10 + -1e5x + -1e10

Reorder the terms:
1e5x + -1e10 = e5x + -1e5x + e10 + -1e10

Combine like terms: e5x + -1e5x = 0
1e5x + -1e10 = 0 + e10 + -1e10
1e5x + -1e10 = e10 + -1e10

Combine like terms: e10 + -1e10 = 0
1e5x + -1e10 = 0

Factor out the Greatest Common Factor (GCF), 'e5'.
e5(x + -1e5) = 0


Subproblem 1
Set the factor 'e5' equal to zero and attempt to solve:

Simplifying
e5 = 0

Solving
e5 = 0

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

Simplifying
e5 = 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 '(x + -1e5)' equal to zero and attempt to solve:

Simplifying
x + -1e5 = 0

Reorder the terms:
-1e5 + x = 0

Solving
-1e5 + x = 0

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

Add '-1x' to each side of the equation.
-1e5 + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-1e5 + 0 = 0 + -1x
-1e5 = 0 + -1x
Remove the zero:
-1e5 = -1x

Divide each side by '-1'.
e5 = x

Simplifying
e5 = x

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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