xy+yx+x-3x(x+y)=

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Solution for xy+yx+x-3x(x+y)= equation: 


Simplifying
xy + yx + x + -3x(x + y) = 0
xy + xy + x + (x * -3x + y * -3x) = 0

Reorder the terms:
xy + xy + x + (-3xy + -3x2) = 0
xy + xy + x + (-3xy + -3x2) = 0

Reorder the terms:
x + xy + xy + -3xy + -3x2 = 0

Combine like terms: xy + xy = 2xy
x + 2xy + -3xy + -3x2 = 0

Combine like terms: 2xy + -3xy = -1xy
x + -1xy + -3x2 = 0

Solving
x + -1xy + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -1y + -3x) = 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 '(1 + -1y + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -1y + -3x = 0

Reorder the terms:
1 + -3x + -1y = 0

Solving
1 + -3x + -1y = 0

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

Add '-1' to each side of the equation.
1 + -3x + -1 + -1y = 0 + -1

Reorder the terms:
1 + -1 + -3x + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x + -1y = 0 + -1
-3x + -1y = 0 + -1

Combine like terms: 0 + -1 = -1
-3x + -1y = -1

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

Combine like terms: -1y + y = 0
-3x + 0 = -1 + y
-3x = -1 + y

Divide each side by '-3'.
x = 0.3333333333 + -0.3333333333y

Simplifying
x = 0.3333333333 + -0.3333333333y
Solution
x = {0, 0.3333333333 + -0.3333333333y}

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