10*(e^2n-10)-5=73

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Solution for 10*(e^2n-10)-5=73 equation: 


Simplifying
10(e2n + -10) + -5 = 73

Reorder the terms:
10(-10 + e2n) + -5 = 73
(-10 * 10 + e2n * 10) + -5 = 73
(-100 + 10e2n) + -5 = 73

Reorder the terms:
-100 + -5 + 10e2n = 73

Combine like terms: -100 + -5 = -105
-105 + 10e2n = 73

Solving
-105 + 10e2n = 73

Solving for variable 'e'.

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

Add '105' to each side of the equation.
-105 + 105 + 10e2n = 73 + 105

Combine like terms: -105 + 105 = 0
0 + 10e2n = 73 + 105
10e2n = 73 + 105

Combine like terms: 73 + 105 = 178
10e2n = 178

Divide each side by '10n'.
e2 = 17.8n-1

Simplifying
e2 = 17.8n-1

Combine like terms: 17.8n-1 + -17.8n-1 = 0.0
e2 + -17.8n-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'n-1'.
n-1(e2n + -17.8) = 0.0


Subproblem 1
Set the factor 'n-1' equal to zero and attempt to solve:

Simplifying
n-1 = 0

Solving
n-1 = 0

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

Add '-1n-1' to each side of the equation.
n-1 + -1n-1 = 0 + -1n-1
Remove the zero:
0 = -1n-1

Simplifying
0 = -1n-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 '(e2n + -17.8)' equal to zero and attempt to solve:

Simplifying
e2n + -17.8 = 0

Reorder the terms:
-17.8 + e2n = 0

Solving
-17.8 + e2n = 0

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

Add '17.8' to each side of the equation.
-17.8 + 17.8 + e2n = 0 + 17.8

Combine like terms: -17.8 + 17.8 = 0.0
0.0 + e2n = 0 + 17.8
e2n = 0 + 17.8

Combine like terms: 0 + 17.8 = 17.8
e2n = 17.8

Divide each side by 'n'.
e2 = 17.8n-1

Simplifying
e2 = 17.8n-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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