x(e^2-1)=12

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Solution for x(e^2-1)=12 equation: 


Simplifying
x(e2 + -1) = 12

Reorder the terms:
x(-1 + e2) = 12
(-1 * x + e2 * x) = 12

Reorder the terms:
(e2x + -1x) = 12
(e2x + -1x) = 12

Solving
e2x + -1x = 12

Solving for variable 'e'.

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

Add 'x' to each side of the equation.
e2x + -1x + x = 12 + x

Combine like terms: -1x + x = 0
e2x + 0 = 12 + x
e2x = 12 + x

Divide each side by 'x'.
e2 = 12x-1 + 1

Simplifying
e2 = 12x-1 + 1

Reorder the terms:
e2 = 1 + 12x-1

Reorder the terms:
-1 + e2 + -12x-1 = 1 + 12x-1 + -1 + -12x-1

Reorder the terms:
-1 + e2 + -12x-1 = 1 + -1 + 12x-1 + -12x-1

Combine like terms: 1 + -1 = 0
-1 + e2 + -12x-1 = 0 + 12x-1 + -12x-1
-1 + e2 + -12x-1 = 12x-1 + -12x-1

Combine like terms: 12x-1 + -12x-1 = 0
-1 + e2 + -12x-1 = 0

The solution to this equation could not be determined.

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