e^7x+8-1=0

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Solution for e^7x+8-1=0 equation: 


Simplifying
e7x + 8 + -1 = 0

Reorder the terms:
8 + -1 + e7x = 0

Combine like terms: 8 + -1 = 7
7 + e7x = 0

Solving
7 + e7x = 0

Solving for variable 'e'.

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

Add '-7' to each side of the equation.
7 + -7 + e7x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + e7x = 0 + -7
e7x = 0 + -7

Combine like terms: 0 + -7 = -7
e7x = -7

Divide each side by 'x'.
e7 = -7x-1

Simplifying
e7 = -7x-1

Combine like terms: -7x-1 + 7x-1 = 0
e7 + 7x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + 7) = 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 '(e7x + 7)' equal to zero and attempt to solve:

Simplifying
e7x + 7 = 0

Reorder the terms:
7 + e7x = 0

Solving
7 + e7x = 0

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

Add '-7' to each side of the equation.
7 + -7 + e7x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + e7x = 0 + -7
e7x = 0 + -7

Combine like terms: 0 + -7 = -7
e7x = -7

Divide each side by 'x'.
e7 = -7x-1

Simplifying
e7 = -7x-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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