(e^8x)(e^2x)=e^20

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Solution for (e^8x)(e^2x)=e^20 equation: 


Simplifying
(e8x)(e2x) = e20

Multiply e8x * e2x
e10x2 = e20

Solving
e10x2 = e20

Solving for variable 'e'.

Combine like terms: e20 + -1e20 = 0
e10x2 + -1e20 = 0

Factor out the Greatest Common Factor (GCF), 'e10'.
e10(x2 + -1e10) = 0

Factor a difference between two squares.
e10((x + e5)(x + -1e5)) = 0


Subproblem 1
Set the factor 'e10' equal to zero and attempt to solve:

Simplifying
e10 = 0

Solving
e10 = 0

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

Simplifying
e10 = 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 + e5)' equal to zero and attempt to solve:

Simplifying
x + e5 = 0

Reorder the terms:
e5 + x = 0

Solving
e5 + x = 0

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

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

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

Simplifying
e5 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
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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