(4x-6y)(2x+6y)=

Simple and best practice solution for (4x-6y)(2x+6y)= 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 (4x-6y)(2x+6y)= equation: 


Simplifying
(4x + -6y)(2x + 6y) = 0

Multiply (4x + -6y) * (2x + 6y)
(4x * (2x + 6y) + -6y * (2x + 6y)) = 0
((2x * 4x + 6y * 4x) + -6y * (2x + 6y)) = 0

Reorder the terms:
((24xy + 8x2) + -6y * (2x + 6y)) = 0
((24xy + 8x2) + -6y * (2x + 6y)) = 0
(24xy + 8x2 + (2x * -6y + 6y * -6y)) = 0
(24xy + 8x2 + (-12xy + -36y2)) = 0

Reorder the terms:
(24xy + -12xy + 8x2 + -36y2) = 0

Combine like terms: 24xy + -12xy = 12xy
(12xy + 8x2 + -36y2) = 0

Solving
12xy + 8x2 + -36y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3xy + 2x2 + -9y2) = 0

Factor a trinomial.
4((2x + -3y)(x + 3y)) = 0

Ignore the factor 4.

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 + 3y)' equal to zero and attempt to solve:

Simplifying
x + 3y = 0

Solving
x + 3y = 0

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

Add '-3y' to each side of the equation.
x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
x + 0 = 0 + -3y
x = 0 + -3y
Remove the zero:
x = -3y

Simplifying
x = -3y
Solution
x = {1.5y, -3y}

See similar equations:

| 6(x-3)-(6x+6)=2(4x+5) | | 5x^4y-10x^2y^2= | | 1(4/3) | | 2/9÷3/4=8/27 | | x/2-3/5=1/2 | | X^3-16x+21=0 | | 9(2d-1)+2d=11 | | 9x+3y=-30 | | 2/9÷3/4= | | X^4+2x^2-5x=0 | | 40x=200+25x | | 2(x-2)-(2x+4)=4(6x+6) | | 0.8x+1.6x-3.2=-12.8 | | X-.4=84 | | 6x-114=68-8x | | -4+8(x-2)=12x+5-4x | | (9x+6a)(8m-4y)= | | 3x^3-108x= | | 14x^2-33x+18=0 | | 90=5(6+2n) | | 5z(3a-4b+2m)= | | X^2-14x+149=0 | | -3(w+5)=21 | | 5x^3+5x^2+5=0 | | x^2+13xy+22y^2=0 | | -12+6x=9x+27 | | -3a-5.3=11.23 | | 10X^3+70=-10 | | -14+54=-4(x+4) | | 3x+2x+9y+14+45=180 | | 0=w^2-6w+27 | | X-.4x=102 |

Equations solver categories