e^9x+8=6

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Solution for e^9x+8=6 equation:


Simplifying
e9x + 8 = 6

Reorder the terms:
8 + e9x = 6

Solving
8 + e9x = 6

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 + e9x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + e9x = 6 + -8
e9x = 6 + -8

Combine like terms: 6 + -8 = -2
e9x = -2

Divide each side by 'x'.
e9 = -2x-1

Simplifying
e9 = -2x-1

Combine like terms: -2x-1 + 2x-1 = 0
e9 + 2x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e9x + 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 '(e9x + 2)' equal to zero and attempt to solve: Simplifying e9x + 2 = 0 Reorder the terms: 2 + e9x = 0 Solving 2 + e9x = 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 + e9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + e9x = 0 + -2 e9x = 0 + -2 Combine like terms: 0 + -2 = -2 e9x = -2 Divide each side by 'x'. e9 = -2x-1 Simplifying e9 = -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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