3e^4x-4=6

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


Simplifying
3e4x + -4 = 6

Reorder the terms:
-4 + 3e4x = 6

Solving
-4 + 3e4x = 6

Solving for variable 'e'.

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

Add '4' to each side of the equation.
-4 + 4 + 3e4x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 3e4x = 6 + 4
3e4x = 6 + 4

Combine like terms: 6 + 4 = 10
3e4x = 10

Divide each side by '3x'.
e4 = 3.333333333x-1

Simplifying
e4 = 3.333333333x-1

Combine like terms: 3.333333333x-1 + -3.333333333x-1 = 0.000000000
e4 + -3.333333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -3.333333333) = 0.000000000

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 + -3.333333333)' equal to zero and attempt to solve: Simplifying e4x + -3.333333333 = 0 Reorder the terms: -3.333333333 + e4x = 0 Solving -3.333333333 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '3.333333333' to each side of the equation. -3.333333333 + 3.333333333 + e4x = 0 + 3.333333333 Combine like terms: -3.333333333 + 3.333333333 = 0.000000000 0.000000000 + e4x = 0 + 3.333333333 e4x = 0 + 3.333333333 Combine like terms: 0 + 3.333333333 = 3.333333333 e4x = 3.333333333 Divide each side by 'x'. e4 = 3.333333333x-1 Simplifying e4 = 3.333333333x-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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