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

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


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

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

Reorder the terms:
((4xy + 2x2) + 3y * (x + 2y)) = 0
((4xy + 2x2) + 3y * (x + 2y)) = 0
(4xy + 2x2 + (x * 3y + 2y * 3y)) = 0
(4xy + 2x2 + (3xy + 6y2)) = 0

Reorder the terms:
(4xy + 3xy + 2x2 + 6y2) = 0

Combine like terms: 4xy + 3xy = 7xy
(7xy + 2x2 + 6y2) = 0

Solving
7xy + 2x2 + 6y2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
x + 2y = 0

Solving
x + 2y = 0

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

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

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

Simplifying
x = -2y
Solution
x = {-1.5y, -2y}

See similar equations:

| 6x-2=2(2x+3) | | 48-4y=8y-12 | | 5u^2-6=13u | | 12x-8+16z+19= | | 7x+3(x-5)-1=-4(x+1)+9 | | t^2-7t+21=4t-9 | | 3a+10=8a | | 5x+3x+8=3(2x+2)+6 | | 12x^4-4x^3=6x-18x^2 | | 3(2x+4)=24 | | 7x-60=5x | | 4(x+3)=2(x-2)+8 | | y=(w-12)+30 | | 6+7x=-3x-24 | | 24=-25+n | | -5-8x=-3x | | 6(x-3)=-48 | | 3x+5=21-4 | | 8+5X+2=4X-2+X | | 0.7x+0.3=-0.4 | | -16=x+9 | | 2x+25=4x-15 | | 8-4n=3 | | 2(X+4)=4-4(4X+1) | | -10x+7=47 | | 222-6x=30x+18 | | -2(x+3)=-14 | | 2y-1=7 | | 8-9x=59-30x | | -6z-5-3z=13 | | 4v=84 | | z-9=2 |

Equations solver categories