(e^5x)=47-5*(e^5x)

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Solution for (e^5x)=47-5*(e^5x) equation: 


Simplifying
(e5x) = 47 + -5(e5x)
e5x = 47 + -5(e5x)

Solving
e5x = 47 + -5e5x

Solving for variable 'e'.

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

Add '5e5x' to each side of the equation.
e5x + 5e5x = 47 + -5e5x + 5e5x

Combine like terms: e5x + 5e5x = 6e5x
6e5x = 47 + -5e5x + 5e5x

Combine like terms: -5e5x + 5e5x = 0
6e5x = 47 + 0
6e5x = 47

Divide each side by '6x'.
e5 = 7.833333333x-1

Simplifying
e5 = 7.833333333x-1

Combine like terms: 7.833333333x-1 + -7.833333333x-1 = 0.000000000
e5 + -7.833333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -7.833333333) = 0.000000000


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 '(e5x + -7.833333333)' equal to zero and attempt to solve:

Simplifying
e5x + -7.833333333 = 0

Reorder the terms:
-7.833333333 + e5x = 0

Solving
-7.833333333 + e5x = 0

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

Add '7.833333333' to each side of the equation.
-7.833333333 + 7.833333333 + e5x = 0 + 7.833333333

Combine like terms: -7.833333333 + 7.833333333 = 0.000000000
0.000000000 + e5x = 0 + 7.833333333
e5x = 0 + 7.833333333

Combine like terms: 0 + 7.833333333 = 7.833333333
e5x = 7.833333333

Divide each side by 'x'.
e5 = 7.833333333x-1

Simplifying
e5 = 7.833333333x-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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