E^8x-4e^4x+4=0

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Solution for E^8x-4e^4x+4=0 equation:


Simplifying
E8x + -4e4x + 4 = 0

Reorder the terms:
4 + -4e4x + xE8 = 0

Solving
4 + -4e4x + xE8 = 0

Solving for variable 'e'.

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

Add '-4' to each side of the equation.
4 + -4e4x + -4 + xE8 = 0 + -4

Reorder the terms:
4 + -4 + -4e4x + xE8 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4e4x + xE8 = 0 + -4
-4e4x + xE8 = 0 + -4

Combine like terms: 0 + -4 = -4
-4e4x + xE8 = -4

Add '-1xE8' to each side of the equation.
-4e4x + xE8 + -1xE8 = -4 + -1xE8

Combine like terms: xE8 + -1xE8 = 0
-4e4x + 0 = -4 + -1xE8
-4e4x = -4 + -1xE8

Divide each side by '-4x'.
e4 = x-1 + 0.25E8

Simplifying
e4 = x-1 + 0.25E8

Reorder the terms:
e4 = 0.25E8 + x-1

Reorder the terms:
-0.25E8 + e4 + -1x-1 = 0.25E8 + x-1 + -0.25E8 + -1x-1

Reorder the terms:
-0.25E8 + e4 + -1x-1 = 0.25E8 + -0.25E8 + x-1 + -1x-1

Combine like terms: 0.25E8 + -0.25E8 = 0.00
-0.25E8 + e4 + -1x-1 = 0.00 + x-1 + -1x-1
-0.25E8 + e4 + -1x-1 = x-1 + -1x-1

Combine like terms: x-1 + -1x-1 = 0
-0.25E8 + e4 + -1x-1 = 0

The solution to this equation could not be determined.

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