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

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


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

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

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

Reorder the terms:
(8xy + 3xy + 2x2 + 12y2) = 0

Combine like terms: 8xy + 3xy = 11xy
(11xy + 2x2 + 12y2) = 0

Solving
11xy + 2x2 + 12y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + 3y)(x + 4y) = 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 + 4y)' equal to zero and attempt to solve:

Simplifying
x + 4y = 0

Solving
x + 4y = 0

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

Add '-4y' to each side of the equation.
x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x + 0 = 0 + -4y
x = 0 + -4y
Remove the zero:
x = -4y

Simplifying
x = -4y
Solution
x = {-1.5y, -4y}

See similar equations:

| 3x-4+6=-2 | | p/12=11 | | y/15=4 | | f/4=8 | | 4+9x=58 | | 8/4+96 | | 2x^3+3x^2y^3=64y | | k/9=14 | | 1+x=1x | | tg(45-x)=5 | | 9.41=f-4.39 | | tg(45-x)=0 | | w-3.3=7.1 | | 1x-1=1x+2 | | tg^2(45)=45x | | 1x-1=x+2 | | -2(5-4b)= | | 5t-T-6=3t-3 | | 7x-2=58 | | (-4x)(-11)= | | tg^2(45-x)=0 | | x^2+4x=-43 | | x(45-3)=5 | | -4y-7=3x | | 1+3-(6-4)*2= | | tg^2(45+x)=0 | | 0.08-0.02(x+1)=-0.03(3-x) | | x^2-5/12x-7/8=0 | | 8-7x=10x+22 | | 2/8+7/20 | | 4x-14=46 | | 70+10=x |

Equations solver categories