(2x+3y)(4x+2y)=

Simple and best practice solution for (2x+3y)(4x+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)(4x+2y)= equation:


Simplifying
(2x + 3y)(4x + 2y) = 0

Multiply (2x + 3y) * (4x + 2y)
(2x * (4x + 2y) + 3y * (4x + 2y)) = 0
((4x * 2x + 2y * 2x) + 3y * (4x + 2y)) = 0

Reorder the terms:
((4xy + 8x2) + 3y * (4x + 2y)) = 0
((4xy + 8x2) + 3y * (4x + 2y)) = 0
(4xy + 8x2 + (4x * 3y + 2y * 3y)) = 0
(4xy + 8x2 + (12xy + 6y2)) = 0

Reorder the terms:
(4xy + 12xy + 8x2 + 6y2) = 0

Combine like terms: 4xy + 12xy = 16xy
(16xy + 8x2 + 6y2) = 0

Solving
16xy + 8x2 + 6y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8xy + 4x2 + 3y2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(2x + y)' equal to zero and attempt to solve: Simplifying 2x + y = 0 Solving 2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + 0 = 0 + -1y 2x = 0 + -1y Remove the zero: 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5y

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 = {-0.5y, -1.5y}

See similar equations:

| -12-p=-13 | | (3y^2)(5y^7)(2y^4)= | | -15b+21+5b=-1 | | 5(t-3)=5 | | x=300-0.6y | | log(1+Y)=.75 | | 3(x+3)=4x-2 | | x/3-2=11 | | 1/3x28^2x6 | | (5(x-3))/2=(2(x-1))/5 | | x^2-5*4x=180 | | 12x+24y+3z=528 | | 7x+x+x=180 | | 7-(5+-13)=-25 | | 2a+5a*4a-a= | | (4g+3h)(2g-5h)= | | 4m^2+6m+1=0 | | 8q+6=49-14 | | p(x)=45+35x | | 4m+16=15 | | -15=3x-27 | | -(0-2)=(0)+2 | | M=2-12/-3-5=-10/-8=5/4 | | 3(2-x)-(5x+2)=5+3(x+4) | | 13x-13=180 | | 45-3k+k=0 | | (4y-6)+4y=9 | | 5x-14=4x+12 | | 5X^2-kx+k=0 | | x-13=180 | | 6(2-x)-(5x+12)=8+3x-4 | | 7m-23=-15+9m |

Equations solver categories