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

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


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

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

Reorder the terms:
((-6xy + 4x2) + 3y * (2x + -3y)) = 0
((-6xy + 4x2) + 3y * (2x + -3y)) = 0
(-6xy + 4x2 + (2x * 3y + -3y * 3y)) = 0
(-6xy + 4x2 + (6xy + -9y2)) = 0

Reorder the terms:
(-6xy + 6xy + 4x2 + -9y2) = 0

Combine like terms: -6xy + 6xy = 0
(0 + 4x2 + -9y2) = 0
(4x2 + -9y2) = 0

Solving
4x2 + -9y2 = 0

Solving for variable 'x'.

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

Add '9y2' to each side of the equation.
4x2 + -9y2 + 9y2 = 0 + 9y2

Combine like terms: -9y2 + 9y2 = 0
4x2 + 0 = 0 + 9y2
4x2 = 0 + 9y2
Remove the zero:
4x2 = 9y2

Divide each side by '4'.
x2 = 2.25y2

Simplifying
x2 = 2.25y2

Take the square root of each side:
x = {-1.5y, 1.5y}

See similar equations:

| 1x+5y=22 | | 2(y-1)=7-2y | | 3c+2t=23 | | 2a+4a-5=4a-1a-10 | | 2x+6=96-8x | | 4c+8y=52 | | 2x+5x=100 | | 2a+4a+10a= | | x=15y-9 | | 3x-7=20x+5 | | logx(2x-3)=1 | | 4x-9y=z | | 10x+14y=100 | | 6x-2x-8=7 | | a^2-33a-30=0 | | 2x-56=16x | | 0=-15p^2+2-7p | | 20x+8y=100 | | 2amn-6n-3m+am^2= | | y=(2x^2/x^2-4) | | 9(4p+2)+8=35 | | 25b+20b+4=26+6 | | 2ln(x)=14 | | y=15-9x | | y=ln(4x-4) | | .89x+10=.99 | | 10*10*10*10*10*10= | | -2(2n/5)=4 | | -2w-4(-5x+3w)-4x= | | (x+10)(x+10)=x^2+cx+d | | 25a+30a=25a+100 | | x^2+4xy+4y^2-6x+5=0 |

Equations solver categories