x(e^2x)-1=5

Solution for x(e^2x)-1=5 equation:

Simplifying
x(e2x) + -1 = 5

Multiply x * e2x
e2x2 + -1 = 5

Reorder the terms:
-1 + e2x2 = 5

Solving
-1 + e2x2 = 5

Solving for variable 'e'.

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

Add '1' to each side of the equation.
-1 + 1 + e2x2 = 5 + 1

Combine like terms: -1 + 1 = 0
0 + e2x2 = 5 + 1
e2x2 = 5 + 1

Combine like terms: 5 + 1 = 6
e2x2 = 6

Divide each side by 'x2'.
e2 = 6x-2

Simplifying
e2 = 6x-2

Take the square root of each side:
e = {-2.449489743x-1, 2.449489743x-1}