e^9x+9=8

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


Simplifying
e9x + 9 = 8

Reorder the terms:
9 + e9x = 8

Solving
9 + e9x = 8

Solving for variable 'e'.

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

Add '-9' to each side of the equation.
9 + -9 + e9x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + e9x = 8 + -9
e9x = 8 + -9

Combine like terms: 8 + -9 = -1
e9x = -1

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

Simplifying
e9 = -1x-1

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

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e9x + 1) = 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 + 1)' equal to zero and attempt to solve: Simplifying e9x + 1 = 0 Reorder the terms: 1 + e9x = 0 Solving 1 + e9x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e9x = 0 + -1 e9x = 0 + -1 Combine like terms: 0 + -1 = -1 e9x = -1 Divide each side by 'x'. e9 = -1x-1 Simplifying e9 = -1x-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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