3xy(x+2)-4x^2(y-1)=

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Solution for 3xy(x+2)-4x^2(y-1)= equation: 


Simplifying
3xy(x + 2) + -4x2(y + -1) = 0

Reorder the terms:
3xy(2 + x) + -4x2(y + -1) = 0
(2 * 3xy + x * 3xy) + -4x2(y + -1) = 0
(6xy + 3x2y) + -4x2(y + -1) = 0

Reorder the terms:
6xy + 3x2y + -4x2(-1 + y) = 0
6xy + 3x2y + (-1 * -4x2 + y * -4x2) = 0
6xy + 3x2y + (4x2 + -4x2y) = 0

Reorder the terms:
6xy + 4x2 + 3x2y + -4x2y = 0

Combine like terms: 3x2y + -4x2y = -1x2y
6xy + 4x2 + -1x2y = 0

Solving
6xy + 4x2 + -1x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6y + 4x + -1xy) = 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 '(6y + 4x + -1xy)' equal to zero and attempt to solve:

Simplifying
6y + 4x + -1xy = 0

Reorder the terms:
4x + -1xy + 6y = 0

Solving
4x + -1xy + 6y = 0

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

Add '-6y' to each side of the equation.
4x + -1xy + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
4x + -1xy + 0 = 0 + -6y
4x + -1xy = 0 + -6y
Remove the zero:
4x + -1xy = -6y

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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