e^6x+8=2

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Solution for e^6x+8=2 equation:


Simplifying
e6x + 8 = 2

Reorder the terms:
8 + e6x = 2

Solving
8 + e6x = 2

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 + e6x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + e6x = 2 + -8
e6x = 2 + -8

Combine like terms: 2 + -8 = -6
e6x = -6

Divide each side by 'x'.
e6 = -6x-1

Simplifying
e6 = -6x-1

Combine like terms: -6x-1 + 6x-1 = 0
e6 + 6x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + 6) = 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 '(e6x + 6)' equal to zero and attempt to solve: Simplifying e6x + 6 = 0 Reorder the terms: 6 + e6x = 0 Solving 6 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + e6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + e6x = 0 + -6 e6x = 0 + -6 Combine like terms: 0 + -6 = -6 e6x = -6 Divide each side by 'x'. e6 = -6x-1 Simplifying e6 = -6x-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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