6e^3x-2=60

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Solution for 6e^3x-2=60 equation:


Simplifying
6e3x + -2 = 60

Reorder the terms:
-2 + 6e3x = 60

Solving
-2 + 6e3x = 60

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 + 6e3x = 60 + 2

Combine like terms: -2 + 2 = 0
0 + 6e3x = 60 + 2
6e3x = 60 + 2

Combine like terms: 60 + 2 = 62
6e3x = 62

Divide each side by '6x'.
e3 = 10.33333333x-1

Simplifying
e3 = 10.33333333x-1

Combine like terms: 10.33333333x-1 + -10.33333333x-1 = 0.00000000
e3 + -10.33333333x-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -10.33333333) = 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 '(e3x + -10.33333333)' equal to zero and attempt to solve: Simplifying e3x + -10.33333333 = 0 Reorder the terms: -10.33333333 + e3x = 0 Solving -10.33333333 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '10.33333333' to each side of the equation. -10.33333333 + 10.33333333 + e3x = 0 + 10.33333333 Combine like terms: -10.33333333 + 10.33333333 = 0.00000000 0.00000000 + e3x = 0 + 10.33333333 e3x = 0 + 10.33333333 Combine like terms: 0 + 10.33333333 = 10.33333333 e3x = 10.33333333 Divide each side by 'x'. e3 = 10.33333333x-1 Simplifying e3 = 10.33333333x-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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