5-e^3x=20

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Solution for 5-e^3x=20 equation: 


Simplifying
5 + -1e3x = 20

Solving
5 + -1e3x = 20

Solving for variable 'e'.

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

Add '-5' to each side of the equation.
5 + -5 + -1e3x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -1e3x = 20 + -5
-1e3x = 20 + -5

Combine like terms: 20 + -5 = 15
-1e3x = 15

Divide each side by '-1x'.
e3 = -15x-1

Simplifying
e3 = -15x-1

Combine like terms: -15x-1 + 15x-1 = 0
e3 + 15x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + 15) = 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 '(e3x + 15)' equal to zero and attempt to solve:

Simplifying
e3x + 15 = 0

Reorder the terms:
15 + e3x = 0

Solving
15 + e3x = 0

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

Add '-15' to each side of the equation.
15 + -15 + e3x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + e3x = 0 + -15
e3x = 0 + -15

Combine like terms: 0 + -15 = -15
e3x = -15

Divide each side by 'x'.
e3 = -15x-1

Simplifying
e3 = -15x-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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