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

Simple and best practice solution for (2x-y)(y+3x)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x-y)(y+3x)=0 equation: 


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

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

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

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

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

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

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

Solving for variable 'x'.

Factor a trinomial.
(2x + -1y)(3x + y) = 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 + y)' equal to zero and attempt to solve:

Simplifying
3x + y = 0

Solving
3x + y = 0

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

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

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

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

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

See similar equations:

| 24-4*5+2= | | 5x=-47+4 | | 5x=-47+4 | | 2x^3-11x^2+28= | | (w+1)(2w+3)=102 | | x^2-9=405 | | 0.2x+6=45 | | 5-8=-8 | | -3=6z | | 3(d-7)=10 | | 4x+7y=32 | | 4(3x-4)=10x | | n+11.5=29 | | b-0.6=1.8 | | 15+2.05=2.35g | | 2x+25+12+32+2x=31+x | | 4k^2+9k=-5 | | -3(8p+2)-2(5-17p)=3(5+3p) | | 2(6t+1)-4(t-1)=9 | | 4(x-2)-2x=-3x-(x-2) | | 2p-12+8p=6p-24-24 | | 2b+9=-11 | | 4x^2-9y^2-11=0 | | x+30+x+20+x-50=180 | | 4z-3=9z+5 | | -12.1+8.815= | | 1xy+xy= | | 24+21=36 | | 1.4y+5= | | .8-12.9= | | 10-4+2x=2x+2 | | -7x+9x-4=6(x-8) |

Equations solver categories