e^4x+1-3=8

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Solution for e^4x+1-3=8 equation: 


Simplifying
e4x + 1 + -3 = 8

Reorder the terms:
1 + -3 + e4x = 8

Combine like terms: 1 + -3 = -2
-2 + e4x = 8

Solving
-2 + e4x = 8

Solving for variable 'e'.

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

Add '2' to each side of the equation.
-2 + 2 + e4x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + e4x = 8 + 2
e4x = 8 + 2

Combine like terms: 8 + 2 = 10
e4x = 10

Divide each side by 'x'.
e4 = 10x-1

Simplifying
e4 = 10x-1

Combine like terms: 10x-1 + -10x-1 = 0
e4 + -10x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -10) = 0


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

Simplifying
x-1 = 0

Solving
x-1 = 0

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

Add '-1x-1' to each side of the equation.
x-1 + -1x-1 = 0 + -1x-1
Remove the zero:
0 = -1x-1

Simplifying
0 = -1x-1

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 '(e4x + -10)' equal to zero and attempt to solve:

Simplifying
e4x + -10 = 0

Reorder the terms:
-10 + e4x = 0

Solving
-10 + e4x = 0

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

Add '10' to each side of the equation.
-10 + 10 + e4x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + e4x = 0 + 10
e4x = 0 + 10

Combine like terms: 0 + 10 = 10
e4x = 10

Divide each side by 'x'.
e4 = 10x-1

Simplifying
e4 = 10x-1

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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