(x-4y)(8x-12y)=

Simple and best practice solution for (x-4y)(8x-12y)= 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 (x-4y)(8x-12y)= equation:


Simplifying
(x + -4y)(8x + -12y) = 0

Multiply (x + -4y) * (8x + -12y)
(x(8x + -12y) + -4y * (8x + -12y)) = 0
((8x * x + -12y * x) + -4y * (8x + -12y)) = 0

Reorder the terms:
((-12xy + 8x2) + -4y * (8x + -12y)) = 0
((-12xy + 8x2) + -4y * (8x + -12y)) = 0
(-12xy + 8x2 + (8x * -4y + -12y * -4y)) = 0
(-12xy + 8x2 + (-32xy + 48y2)) = 0

Reorder the terms:
(-12xy + -32xy + 8x2 + 48y2) = 0

Combine like terms: -12xy + -32xy = -44xy
(-44xy + 8x2 + 48y2) = 0

Solving
-44xy + 8x2 + 48y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-11xy + 2x2 + 12y2) = 0

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

Ignore the factor 4.

Subproblem 1

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

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 = {4y, 1.5y}

See similar equations:

| 3w^2-8w+5=0 | | -x+7x=19-3x-6 | | 4x+8y=48 | | 2x(x-3)=8 | | 3*x=4+x | | 22X+6-24X=1-5 | | =5x^2+22x+8 | | 6-2t^2=9t+15 | | -3y^2=6y-10 | | x^4=45 | | -g^2+4g+3=0 | | 5(6y-8)=10y | | (x^4)-x=A | | 4a^2=36 | | 9y^2+6y=-12 | | -2(4x-1)=-5x+3-2x | | 7x^2+12x-21=0 | | -3x^2-4x-8=0 | | 32x^2+108x-45=0 | | .06x+.08(1500-x)=110 | | f^2-2f-35=0 | | -4*X+6X=30 | | 6X-3*-X=27 | | 2p^2-7p-4=0 | | 24y^2-11y-14=0 | | 19-3x-6x=7-4x | | a^2-4a-12=0 | | 2x+7x-3=5x+4 | | h^2+4h+7=0 | | s^2-10s+14=0 | | -1-7x=-3+2x | | 16(x+3)=4(4x+5)+28 |

Equations solver categories