7e^4x+8=14

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Solution for 7e^4x+8=14 equation:


Simplifying
7e4x + 8 = 14

Reorder the terms:
8 + 7e4x = 14

Solving
8 + 7e4x = 14

Solving for variable 'e'.

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

Add '-8' to each side of the equation.
8 + -8 + 7e4x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 7e4x = 14 + -8
7e4x = 14 + -8

Combine like terms: 14 + -8 = 6
7e4x = 6

Divide each side by '7x'.
e4 = 0.8571428571x-1

Simplifying
e4 = 0.8571428571x-1

Combine like terms: 0.8571428571x-1 + -0.8571428571x-1 = 0.0000000000
e4 + -0.8571428571x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -0.8571428571) = 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 + -0.8571428571)' equal to zero and attempt to solve: Simplifying e4x + -0.8571428571 = 0 Reorder the terms: -0.8571428571 + e4x = 0 Solving -0.8571428571 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.8571428571' to each side of the equation. -0.8571428571 + 0.8571428571 + e4x = 0 + 0.8571428571 Combine like terms: -0.8571428571 + 0.8571428571 = 0.0000000000 0.0000000000 + e4x = 0 + 0.8571428571 e4x = 0 + 0.8571428571 Combine like terms: 0 + 0.8571428571 = 0.8571428571 e4x = 0.8571428571 Divide each side by 'x'. e4 = 0.8571428571x-1 Simplifying e4 = 0.8571428571x-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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