6e^4x-2=3

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Solution for 6e^4x-2=3 equation:


Simplifying
6e4x + -2 = 3

Reorder the terms:
-2 + 6e4x = 3

Solving
-2 + 6e4x = 3

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 + 6e4x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 6e4x = 3 + 2
6e4x = 3 + 2

Combine like terms: 3 + 2 = 5
6e4x = 5

Divide each side by '6x'.
e4 = 0.8333333333x-1

Simplifying
e4 = 0.8333333333x-1

Combine like terms: 0.8333333333x-1 + -0.8333333333x-1 = 0.0000000000
e4 + -0.8333333333x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -0.8333333333) = 0.0000000000

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 '(e4x + -0.8333333333)' equal to zero and attempt to solve: Simplifying e4x + -0.8333333333 = 0 Reorder the terms: -0.8333333333 + e4x = 0 Solving -0.8333333333 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.8333333333' to each side of the equation. -0.8333333333 + 0.8333333333 + e4x = 0 + 0.8333333333 Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000 0.0000000000 + e4x = 0 + 0.8333333333 e4x = 0 + 0.8333333333 Combine like terms: 0 + 0.8333333333 = 0.8333333333 e4x = 0.8333333333 Divide each side by 'x'. e4 = 0.8333333333x-1 Simplifying e4 = 0.8333333333x-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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