8e^4x+2=9

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Solution for 8e^4x+2=9 equation: 


Simplifying
8e4x + 2 = 9

Reorder the terms:
2 + 8e4x = 9

Solving
2 + 8e4x = 9

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 + 8e4x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 8e4x = 9 + -2
8e4x = 9 + -2

Combine like terms: 9 + -2 = 7
8e4x = 7

Divide each side by '8x'.
e4 = 0.875x-1

Simplifying
e4 = 0.875x-1

Combine like terms: 0.875x-1 + -0.875x-1 = 0.000
e4 + -0.875x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -0.875) = 0.000


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 + -0.875)' equal to zero and attempt to solve:

Simplifying
e4x + -0.875 = 0

Reorder the terms:
-0.875 + e4x = 0

Solving
-0.875 + e4x = 0

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

Add '0.875' to each side of the equation.
-0.875 + 0.875 + e4x = 0 + 0.875

Combine like terms: -0.875 + 0.875 = 0.000
0.000 + e4x = 0 + 0.875
e4x = 0 + 0.875

Combine like terms: 0 + 0.875 = 0.875
e4x = 0.875

Divide each side by 'x'.
e4 = 0.875x-1

Simplifying
e4 = 0.875x-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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