5e^3m-1=80

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Solution for 5e^3m-1=80 equation:


Simplifying
5e3m + -1 = 80

Reorder the terms:
-1 + 5e3m = 80

Solving
-1 + 5e3m = 80

Solving for variable 'e'.

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

Add '1' to each side of the equation.
-1 + 1 + 5e3m = 80 + 1

Combine like terms: -1 + 1 = 0
0 + 5e3m = 80 + 1
5e3m = 80 + 1

Combine like terms: 80 + 1 = 81
5e3m = 81

Divide each side by '5m'.
e3 = 16.2m-1

Simplifying
e3 = 16.2m-1

Combine like terms: 16.2m-1 + -16.2m-1 = 0.0
e3 + -16.2m-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'm-1'.
m-1(e3m + -16.2) = 0.0

Subproblem 1

Set the factor 'm-1' equal to zero and attempt to solve: Simplifying m-1 = 0 Solving m-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1m-1' to each side of the equation. m-1 + -1m-1 = 0 + -1m-1 Remove the zero: 0 = -1m-1 Simplifying 0 = -1m-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 '(e3m + -16.2)' equal to zero and attempt to solve: Simplifying e3m + -16.2 = 0 Reorder the terms: -16.2 + e3m = 0 Solving -16.2 + e3m = 0 Move all terms containing e to the left, all other terms to the right. Add '16.2' to each side of the equation. -16.2 + 16.2 + e3m = 0 + 16.2 Combine like terms: -16.2 + 16.2 = 0.0 0.0 + e3m = 0 + 16.2 e3m = 0 + 16.2 Combine like terms: 0 + 16.2 = 16.2 e3m = 16.2 Divide each side by 'm'. e3 = 16.2m-1 Simplifying e3 = 16.2m-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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