y(x)=x*2e-3*x

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Solution for y(x)=x*2e-3*x equation: 


Simplifying
y(x) = x * 2e + -3x

Multiply y * x
xy = x * 2e + -3x

Reorder the terms for easier multiplication:
xy = 2x * e + -3x

Multiply x * e
xy = 2ex + -3x

Solving
xy = 2ex + -3x

Solving for variable 'x'.

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

Add '-2ex' to each side of the equation.
-2ex + xy = 2ex + -2ex + -3x

Combine like terms: 2ex + -2ex = 0
-2ex + xy = 0 + -3x
-2ex + xy = -3x

Add '3x' to each side of the equation.
-2ex + 3x + xy = -3x + 3x

Combine like terms: -3x + 3x = 0
-2ex + 3x + xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2e + 3 + y) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-2e + 3 + y)' equal to zero and attempt to solve:

Simplifying
-2e + 3 + y = 0

Reorder the terms:
3 + -2e + y = 0

Solving
3 + -2e + y = 0

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

Add '-3' to each side of the equation.
3 + -2e + -3 + y = 0 + -3

Reorder the terms:
3 + -3 + -2e + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2e + y = 0 + -3
-2e + y = 0 + -3

Combine like terms: 0 + -3 = -3
-2e + y = -3

Add '2e' to each side of the equation.
-2e + 2e + y = -3 + 2e

Combine like terms: -2e + 2e = 0
0 + y = -3 + 2e
y = -3 + 2e

Add '-1y' to each side of the equation.
y + -1y = -3 + 2e + -1y

Combine like terms: y + -1y = 0
0 = -3 + 2e + -1y

Simplifying
0 = -3 + 2e + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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