e^9x+8=3

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Solution for e^9x+8=3 equation:


Simplifying
e9x + 8 = 3

Reorder the terms:
8 + e9x = 3

Solving
8 + e9x = 3

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 = 3 + -8

Combine like terms: 8 + -8 = 0
0 + e9x = 3 + -8
e9x = 3 + -8

Combine like terms: 3 + -8 = -5
e9x = -5

Divide each side by 'x'.
e9 = -5x-1

Simplifying
e9 = -5x-1

Combine like terms: -5x-1 + 5x-1 = 0
e9 + 5x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e9x + 5) = 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 + 5)' equal to zero and attempt to solve: Simplifying e9x + 5 = 0 Reorder the terms: 5 + e9x = 0 Solving 5 + e9x = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + e9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + e9x = 0 + -5 e9x = 0 + -5 Combine like terms: 0 + -5 = -5 e9x = -5 Divide each side by 'x'. e9 = -5x-1 Simplifying e9 = -5x-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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