4e^3x+2=20

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Solution for 4e^3x+2=20 equation: 


Simplifying
4e3x + 2 = 20

Reorder the terms:
2 + 4e3x = 20

Solving
2 + 4e3x = 20

Solving for variable 'e'.

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

Add '-2' to each side of the equation.
2 + -2 + 4e3x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 4e3x = 20 + -2
4e3x = 20 + -2

Combine like terms: 20 + -2 = 18
4e3x = 18

Divide each side by '4x'.
e3 = 4.5x-1

Simplifying
e3 = 4.5x-1

Combine like terms: 4.5x-1 + -4.5x-1 = 0.0
e3 + -4.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -4.5) = 0.0


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 + -4.5)' equal to zero and attempt to solve:

Simplifying
e3x + -4.5 = 0

Reorder the terms:
-4.5 + e3x = 0

Solving
-4.5 + e3x = 0

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + e3x = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + e3x = 0 + 4.5
e3x = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
e3x = 4.5

Divide each side by 'x'.
e3 = 4.5x-1

Simplifying
e3 = 4.5x-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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