6e^3m-2=42

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Solution for 6e^3m-2=42 equation:


Simplifying
6e3m + -2 = 42

Reorder the terms:
-2 + 6e3m = 42

Solving
-2 + 6e3m = 42

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 + 6e3m = 42 + 2

Combine like terms: -2 + 2 = 0
0 + 6e3m = 42 + 2
6e3m = 42 + 2

Combine like terms: 42 + 2 = 44
6e3m = 44

Divide each side by '6m'.
e3 = 7.333333333m-1

Simplifying
e3 = 7.333333333m-1

Combine like terms: 7.333333333m-1 + -7.333333333m-1 = 0.000000000
e3 + -7.333333333m-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'm-1'.
m-1(e3m + -7.333333333) = 0.000000000

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 + -7.333333333)' equal to zero and attempt to solve: Simplifying e3m + -7.333333333 = 0 Reorder the terms: -7.333333333 + e3m = 0 Solving -7.333333333 + e3m = 0 Move all terms containing e to the left, all other terms to the right. Add '7.333333333' to each side of the equation. -7.333333333 + 7.333333333 + e3m = 0 + 7.333333333 Combine like terms: -7.333333333 + 7.333333333 = 0.000000000 0.000000000 + e3m = 0 + 7.333333333 e3m = 0 + 7.333333333 Combine like terms: 0 + 7.333333333 = 7.333333333 e3m = 7.333333333 Divide each side by 'm'. e3 = 7.333333333m-1 Simplifying e3 = 7.333333333m-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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