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

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


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

Multiply (3x + -1y) * (2x + y)
-1(3x * (2x + y) + -1y * (2x + y)) = 0
-1((2x * 3x + y * 3x) + -1y * (2x + y)) = 0

Reorder the terms:
-1((3xy + 6x2) + -1y * (2x + y)) = 0
-1((3xy + 6x2) + -1y * (2x + y)) = 0
-1(3xy + 6x2 + (2x * -1y + y * -1y)) = 0
-1(3xy + 6x2 + (-2xy + -1y2)) = 0

Reorder the terms:
-1(3xy + -2xy + 6x2 + -1y2) = 0

Combine like terms: 3xy + -2xy = 1xy
-1(1xy + 6x2 + -1y2) = 0
(1xy * -1 + 6x2 * -1 + -1y2 * -1) = 0
(-1xy + -6x2 + 1y2) = 0

Solving
-1xy + -6x2 + 1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2x + -1y)(3x + -1y) = 0


Subproblem 1
Set the factor '(-2x + -1y)' equal to zero and attempt to solve:

Simplifying
-2x + -1y = 0

Solving
-2x + -1y = 0

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

Add 'y' to each side of the equation.
-2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-2x + 0 = 0 + y
-2x = 0 + y
Remove the zero:
-2x = y

Divide each side by '-2'.
x = -0.5y

Simplifying
x = -0.5y

Subproblem 2
Set the factor '(3x + -1y)' equal to zero and attempt to solve:

Simplifying
3x + -1y = 0

Solving
3x + -1y = 0

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

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

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

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

Simplifying
x = 0.3333333333y
Solution
x = {-0.5y, 0.3333333333y}

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