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

Simple and best practice solution for -(3x-y)(y+x)= 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 -(3x-y)(y+x)= equation: 


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

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

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

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

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

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

Solving
-2xy + -3x2 + 1y2 = 0

Solving for variable 'x'.

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


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

Simplifying
-1x + -1y = 0

Solving
-1x + -1y = 0

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

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

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

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

Simplifying
x = -1y

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 = {-1y, 0.3333333333y}

See similar equations:

| (y-5)/4=1-(y-5) | | -2-10p=-9-9p | | 12x^4y^6/36xy^2 | | -9+5t=4t | | 7+4(3w-1)=-3(3w-2)+3w | | 6x+1.5=20.4 | | 4x^2+y^2-16x+4y-2=0 | | 8+8c=7c | | -5j+5=-6j+5 | | 3.5+2y=20 | | W-(-4)=4 | | 0.16(y-5)+0.12y=0.08y-1.8 | | 4(x-7)=2(x-2) | | (x+y)(2x-y)-(3x-y)(y+x)= | | 7y+3(y-3)=3(y+1)-2 | | (80-6)x=430 | | 2x^3+56x=6x^2 | | 9c=10c+6 | | 3(2+x)=x+12 | | n+320=58 | | -f-10=4f | | 11c-4=62 | | 2+3x=x+12 | | 6x=430+80 | | 6x-3=13-38 | | 441+(x^2)=y^2 | | 4x-1=4(x-6) | | 5x+1=57-3x | | -9.52-5.7j+13.2j=-6.4+7.7j | | 5x+1=573x | | (2y+3)(x-4)=2xy-8y+3x-12 | | 2(u+3)=-3(6u-8)+5u |

Equations solver categories