(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 = 1xy
(1xy + 2x2 + -6y2) = 0

Solving
1xy + 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:

| 5x-15=6x-45 | | j/3-20=-17 | | 3[2(3x-6)-3(4x-1)]=8x+51 | | -2(m-5)+3m=-(m+2)-7 | | 93=27+2z | | 4y-2(1-y)=-38 | | -16+5x=20+x | | 4[4(3x-9)-3(4x-4)]=5x-146 | | -4+-7z=-88 | | 13+15=11x-25 | | 4*5=2b-7 | | 10+4x=6x | | 5+4[3+4x(11-7)]= | | 45=2b-7 | | 8+6m=27 | | -4(x+5)-41=1-26 | | 1x+11=42 | | b/17-7b/17=24/17 | | n^2-3n-16=0 | | 3-5/8=-84 | | -6x^2-15x=-9 | | 3=5-2v | | 10=n/2+7 | | 2y=2x | | -198=18n | | -7-8=7x+10-6x | | 3x-8=8x-7 | | -6t+18=3(2x-6) | | 3(c+1/3)-4 | | 10-2u=8 | | 5z=65 | | 8(x+4)=40 |

Equations solver categories