7e^3x-4=14

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Solution for 7e^3x-4=14 equation:


Simplifying
7e3x + -4 = 14

Reorder the terms:
-4 + 7e3x = 14

Solving
-4 + 7e3x = 14

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 + 7e3x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 7e3x = 14 + 4
7e3x = 14 + 4

Combine like terms: 14 + 4 = 18
7e3x = 18

Divide each side by '7x'.
e3 = 2.571428571x-1

Simplifying
e3 = 2.571428571x-1

Combine like terms: 2.571428571x-1 + -2.571428571x-1 = 0.000000000
e3 + -2.571428571x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -2.571428571) = 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 '(e3x + -2.571428571)' equal to zero and attempt to solve: Simplifying e3x + -2.571428571 = 0 Reorder the terms: -2.571428571 + e3x = 0 Solving -2.571428571 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.571428571' to each side of the equation. -2.571428571 + 2.571428571 + e3x = 0 + 2.571428571 Combine like terms: -2.571428571 + 2.571428571 = 0.000000000 0.000000000 + e3x = 0 + 2.571428571 e3x = 0 + 2.571428571 Combine like terms: 0 + 2.571428571 = 2.571428571 e3x = 2.571428571 Divide each side by 'x'. e3 = 2.571428571x-1 Simplifying e3 = 2.571428571x-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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