(-2x^2+3xy-3x)+(3xy+x)=

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Solution for (-2x^2+3xy-3x)+(3xy+x)= equation: 


Simplifying
(-2x2 + 3xy + -3x) + (3xy + x) = 0

Reorder the terms:
(-3x + 3xy + -2x2) + (3xy + x) = 0

Remove parenthesis around (-3x + 3xy + -2x2)
-3x + 3xy + -2x2 + (3xy + x) = 0

Reorder the terms:
-3x + 3xy + -2x2 + (x + 3xy) = 0

Remove parenthesis around (x + 3xy)
-3x + 3xy + -2x2 + x + 3xy = 0

Reorder the terms:
-3x + x + 3xy + 3xy + -2x2 = 0

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

Combine like terms: 3xy + 3xy = 6xy
-2x + 6xy + -2x2 = 0

Solving
-2x + 6xy + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + 3y + -1x) = 0

Ignore the factor 2.

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 + 3y + -1x)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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

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

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

Divide each side by '-1'.
x = -1 + 3y

Simplifying
x = -1 + 3y
Solution
x = {0, -1 + 3y}

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