3e^5x-2=47

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Solution for 3e^5x-2=47 equation: 


Simplifying
3e5x + -2 = 47

Reorder the terms:
-2 + 3e5x = 47

Solving
-2 + 3e5x = 47

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 + 3e5x = 47 + 2

Combine like terms: -2 + 2 = 0
0 + 3e5x = 47 + 2
3e5x = 47 + 2

Combine like terms: 47 + 2 = 49
3e5x = 49

Divide each side by '3x'.
e5 = 16.33333333x-1

Simplifying
e5 = 16.33333333x-1

Combine like terms: 16.33333333x-1 + -16.33333333x-1 = 0.00000000
e5 + -16.33333333x-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -16.33333333) = 0.00000000


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 + -16.33333333)' equal to zero and attempt to solve:

Simplifying
e5x + -16.33333333 = 0

Reorder the terms:
-16.33333333 + e5x = 0

Solving
-16.33333333 + e5x = 0

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

Add '16.33333333' to each side of the equation.
-16.33333333 + 16.33333333 + e5x = 0 + 16.33333333

Combine like terms: -16.33333333 + 16.33333333 = 0.00000000
0.00000000 + e5x = 0 + 16.33333333
e5x = 0 + 16.33333333

Combine like terms: 0 + 16.33333333 = 16.33333333
e5x = 16.33333333

Divide each side by 'x'.
e5 = 16.33333333x-1

Simplifying
e5 = 16.33333333x-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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