2x*(3y-1)-x*(y+1)=

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Solution for 2x*(3y-1)-x*(y+1)= equation: 


Simplifying
2x(3y + -1) + -1x(y + 1) = 0

Reorder the terms:
2x(-1 + 3y) + -1x(y + 1) = 0
(-1 * 2x + 3y * 2x) + -1x(y + 1) = 0
(-2x + 6xy) + -1x(y + 1) = 0

Reorder the terms:
-2x + 6xy + -1x(1 + y) = 0
-2x + 6xy + (1 * -1x + y * -1x) = 0
-2x + 6xy + (-1x + -1xy) = 0

Reorder the terms:
-2x + -1x + 6xy + -1xy = 0

Combine like terms: -2x + -1x = -3x
-3x + 6xy + -1xy = 0

Combine like terms: 6xy + -1xy = 5xy
-3x + 5xy = 0

Solving
-3x + 5xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 5y) = 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 '(-3 + 5y)' equal to zero and attempt to solve:

Simplifying
-3 + 5y = 0

Solving
-3 + 5y = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5y = 0 + 3
5y = 0 + 3

Combine like terms: 0 + 3 = 3
5y = 3

Add '-5y' to each side of the equation.
5y + -5y = 3 + -5y

Combine like terms: 5y + -5y = 0
0 = 3 + -5y

Simplifying
0 = 3 + -5y

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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