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

Simple and best practice solution for (x+y)(2x-y)= 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 (x+y)(2x-y)= equation: 


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

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

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

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

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

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

Solving for variable 'x'.

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {0.5y, -1y}

See similar equations:

| -25-2x=10x | | 7.2m+2m-m=26.24 | | 2x+7=89-10x | | 9x-5=3x-5 | | 200x+100=200x+100 | | 101-7x=29x+17 | | -3.1256x=13.44008 | | 3y-4-6=15 | | 3u+1=0 | | 3(x-1078)= | | -5(3x-2)=-2(10+6)-3 | | (3x+2y)(5x+7y)= | | -4.7603x=33.58726 | | 8n-2+16=5 | | 5(3x-2)=11x+18 | | -113-10x=7+23 | | (-10x+10)+(-2x^2+10x-9)= | | 9m=-17+44 | | 4(2x-3)=3(2x+6) | | 6y=-.18 | | 5x+11=-85-7 | | -175=25x | | 3(-4x+7)=-7x-4 | | -3x+8=4 | | 111-4x=14x+23 | | -4(x+8)=7x-8 | | 1.6x=80 | | 9-5(2x+4-3)=-28 | | -18+6+(-9)= | | 55-3b=2b-6.25 | | c+4d=3 | | 10x+23=83-5 |

Equations solver categories