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

Simple and best practice solution for (2x+3y)(x-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 (2x+3y)(x-y)= equation: 


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

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

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

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

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

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

Solving for variable 'x'.

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


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

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

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

Simplifying
x = y

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

Simplifying
2x + 3y = 0

Solving
2x + 3y = 0

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

Add '-3y' to each side of the equation.
2x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 0 + -3y
2x = 0 + -3y
Remove the zero:
2x = -3y

Divide each side by '2'.
x = -1.5y

Simplifying
x = -1.5y
Solution
x = {y, -1.5y}

See similar equations:

| x(x+8)-(x+8)= | | 6.5/2*4*8.2/0.1*4= | | x(x)+x=x(x) | | 6x+51=11x+7 | | 4x^2+56x+180=0 | | x=x-x/x | | 3x+25=9x-11 | | 4x-2(6)=16 | | 8x-3=0 | | 0.5x^2-3x-8=0 | | 4a^2= | | 4x-2(3)=16 | | 4x-2(-2)=16 | | 7(x-3)=-7 | | y^3-y^2=16y-16 | | 7=2.2+z | | 5x-22=3 | | 47-6x=3x+18 | | -5.2f=-41.6 | | -(p-7)=-(4p+8) | | 15x-2x+22=10 | | X^3-10x^2-9x-22=0 | | 4x-2x=16 | | 10-7x=70-35x | | -28.8=-3.6k | | -3.8=b+3.9 | | -26=-2.6x | | 3x^3-7x^2+27x-9=0 | | 2x+4x+8=32 | | -12v-50=-2(6v+8) | | 5x-(3x+1)=2x+4 | | 1/4(x+2)=3/2 |

Equations solver categories