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

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


Simplifying
e(x) + (x + -2) * e(x) = 0

Multiply e * x
ex + (x + -2) * e(x) = 0

Reorder the terms:
ex + (-2 + x) * e(x) = 0

Reorder the terms for easier multiplication:
ex + e * x(-2 + x) = 0

Multiply e * x
ex + ex(-2 + x) = 0
ex + (-2 * ex + x * ex) = 0
ex + (-2ex + ex2) = 0

Combine like terms: ex + -2ex = -1ex
-1ex + ex2 = 0

Solving
-1ex + ex2 = 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), 'ex'.
ex(-1 + x) = 0


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

Simplifying
ex = 0

Solving
ex = 0

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

Simplifying
ex = 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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

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

Add '-1x' to each side of the equation.
x + -1x = 1 + -1x

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

Simplifying
0 = 1 + -1x

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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