3e^4m-1=51

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Solution for 3e^4m-1=51 equation:


Simplifying
3e4m + -1 = 51

Reorder the terms:
-1 + 3e4m = 51

Solving
-1 + 3e4m = 51

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 + 3e4m = 51 + 1

Combine like terms: -1 + 1 = 0
0 + 3e4m = 51 + 1
3e4m = 51 + 1

Combine like terms: 51 + 1 = 52
3e4m = 52

Divide each side by '3m'.
e4 = 17.33333333m-1

Simplifying
e4 = 17.33333333m-1

Combine like terms: 17.33333333m-1 + -17.33333333m-1 = 0.00000000
e4 + -17.33333333m-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'm-1'.
m-1(e4m + -17.33333333) = 0.00000000

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 '(e4m + -17.33333333)' equal to zero and attempt to solve: Simplifying e4m + -17.33333333 = 0 Reorder the terms: -17.33333333 + e4m = 0 Solving -17.33333333 + e4m = 0 Move all terms containing e to the left, all other terms to the right. Add '17.33333333' to each side of the equation. -17.33333333 + 17.33333333 + e4m = 0 + 17.33333333 Combine like terms: -17.33333333 + 17.33333333 = 0.00000000 0.00000000 + e4m = 0 + 17.33333333 e4m = 0 + 17.33333333 Combine like terms: 0 + 17.33333333 = 17.33333333 e4m = 17.33333333 Divide each side by 'm'. e4 = 17.33333333m-1 Simplifying e4 = 17.33333333m-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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