e^7x+6=5

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Solution for e^7x+6=5 equation: 


Simplifying
e7x + 6 = 5

Reorder the terms:
6 + e7x = 5

Solving
6 + e7x = 5

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + -6 + e7x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + e7x = 5 + -6
e7x = 5 + -6

Combine like terms: 5 + -6 = -1
e7x = -1

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

Simplifying
e7 = -1x-1

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

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

Simplifying
e7x + 1 = 0

Reorder the terms:
1 + e7x = 0

Solving
1 + e7x = 0

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

Add '-1' to each side of the equation.
1 + -1 + e7x = 0 + -1

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

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

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

Simplifying
e7 = -1x-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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