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

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


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

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

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

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

Combine like terms: 3xy + 2xy = 5xy
(5xy + 2x2 + 3y2) = 0

Solving
5xy + 2x2 + 3y2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {-1y, -1.5y}

See similar equations:

| (x-5)(x+4)(x+2)=0 | | (x-3)(x+2)(x+6)=0 | | (x-3)(x+2)(x+1)=0 | | 17.50= | | -2x^2+7x-10=0 | | 17.50*14days= | | 17.50*14= | | 5n-9=54 | | 9-5n=54 | | 6y-2y(x+1)= | | 6n+12=36 | | x(5y-3)+6x-2xy= | | z^5+z^4+z^3+8z^2+8z+8=0 | | 112cx+3c+-12cx+7= | | 3(x+4)3(x-2)=0 | | -6t+4=34 | | -81bc+7bc= | | 16x-5=10x+19 | | 3x+12*3x-6=3 | | 3(x+4)3(x-2)=3 | | x^2+11x=28 | | 5[2x-7]=15x-10 | | c=ax+b | | 8xy-(x+2xy)+3x= | | 2(xy+2x)-3xy= | | 7x^4=21x^2 | | 8y-13x-8=4 | | -13xy+9y-9xy+18y= | | -xy+-9xy= | | 25ab-37ab= | | 3[x-2]=2x+6 | | 110-90= |

Equations solver categories