6x^2-9xy-27y^2=0

Simple and best practice solution for 6x^2-9xy-27y^2=0 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 6x^2-9xy-27y^2=0 equation:


Simplifying
6x2 + -9xy + -27y2 = 0

Reorder the terms:
-9xy + 6x2 + -27y2 = 0

Solving
-9xy + 6x2 + -27y2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 3.

Subproblem 1

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

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 = {3y, -1.5y}

See similar equations:

| 14x^6-47x^5+39x^4=0 | | 48x^3+24x^2-45x=0 | | 48x^3+24x^2-45z=0 | | 32x^3+16x^2-30x=0 | | 32Z^3+16z^2-30z=0 | | 2p^2-18p+6=0 | | Log(3+x)=2.9 | | -30(x-4)+x=50(3-x) | | 7a^2+11ab+4b^2=0 | | 9x^2+18xy+8y^2=0 | | 7x^2-51x+14=0 | | 7x^2-51+14=0 | | x^2-4x=-12 | | 0=2x^2+6x+9 | | 7x-(4x+4)=11 | | 24-8x=-40 | | 7sqrt(3)+sqrt(48)= | | x^4=4x(2-x^2)-4 | | 14=-g+6(-3g) | | 5x=1/125 | | 10^14x10x10^-5/10^6 | | 5x-3-2x=168 | | 2/5w^2+7/5w-4/5=0 | | -9/x=-6 | | -(9/x)=-6 | | 6x+2y+5=0 | | e/5-14=17 | | -5x^2=7x | | 2(y+12)/10=7 | | x+18=-19 | | 2+n/11=7 | | 14p-5=12p+4 |

Equations solver categories