2e^2x(x-4)+e^2x=0

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Solution for 2e^2x(x-4)+e^2x=0 equation: 


Simplifying
2e2x(x + -4) + e2x = 0

Reorder the terms:
2e2x(-4 + x) + e2x = 0
(-4 * 2e2x + x * 2e2x) + e2x = 0
(-8e2x + 2e2x2) + e2x = 0

Reorder the terms:
-8e2x + e2x + 2e2x2 = 0

Combine like terms: -8e2x + e2x = -7e2x
-7e2x + 2e2x2 = 0

Solving
-7e2x + 2e2x2 = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), 'e2x'.
e2x(-7 + 2x) = 0


Subproblem 1
Set the factor 'e2x' equal to zero and attempt to solve:

Simplifying
e2x = 0

Solving
e2x = 0

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

Simplifying
e2x = 0

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 '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Add '-2x' to each side of the equation.
2x + -2x = 7 + -2x

Combine like terms: 2x + -2x = 0
0 = 7 + -2x

Simplifying
0 = 7 + -2x

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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