(e^8x+6)-4=0

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Solution for (e^8x+6)-4=0 equation:


Simplifying
(e8x + 6) + -4 = 0

Reorder the terms:
(6 + e8x) + -4 = 0

Remove parenthesis around (6 + e8x)
6 + e8x + -4 = 0

Reorder the terms:
6 + -4 + e8x = 0

Combine like terms: 6 + -4 = 2
2 + e8x = 0

Solving
2 + e8x = 0

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 + e8x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + e8x = 0 + -2
e8x = 0 + -2

Combine like terms: 0 + -2 = -2
e8x = -2

Divide each side by 'x'.
e8 = -2x-1

Simplifying
e8 = -2x-1

Combine like terms: -2x-1 + 2x-1 = 0
e8 + 2x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e8x + 2) = 0

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 '(e8x + 2)' equal to zero and attempt to solve: Simplifying e8x + 2 = 0 Reorder the terms: 2 + e8x = 0 Solving 2 + e8x = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + e8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + e8x = 0 + -2 e8x = 0 + -2 Combine like terms: 0 + -2 = -2 e8x = -2 Divide each side by 'x'. e8 = -2x-1 Simplifying e8 = -2x-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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