12x^2-5xy-2y^2=0

Simple and best practice solution for 12x^2-5xy-2y^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 12x^2-5xy-2y^2=0 equation: 


Simplifying
12x2 + -5xy + -2y2 = 0

Reorder the terms:
-5xy + 12x2 + -2y2 = 0

Solving
-5xy + 12x2 + -2y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(3x + -2y)' equal to zero and attempt to solve:

Simplifying
3x + -2y = 0

Solving
3x + -2y = 0

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

Add '2y' to each side of the equation.
3x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 0 + 2y
3x = 0 + 2y
Remove the zero:
3x = 2y

Divide each side by '3'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y

Subproblem 2
Set the factor '(4x + y)' equal to zero and attempt to solve:

Simplifying
4x + y = 0

Solving
4x + y = 0

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

Add '-1y' to each side of the equation.
4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x + 0 = 0 + -1y
4x = 0 + -1y
Remove the zero:
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y
Solution
x = {0.6666666667y, -0.25y}

See similar equations:

| (x+11)(x-2)=0 | | 4b^2-5b-6=0 | | 3y^5-9y^2+18y=0 | | -2x+2y=-12 | | 1=1-1-1-1-1-1-1-1-1-1-1-x | | 8x+36= | | 11=1 | | 7y+13y=39 | | 12x+28=28x-20 | | 1x=10x | | 3y=x+6 | | 24x-18=21x-48 | | 6a-14=4 | | 15x+13=24x-23 | | 7(6-y)= | | 18+x=44 | | 11x-15=10x-6 | | -10x-24=-15x-7x | | 1.5y-4.4=0.7y+1.36 | | -2x+45=7x+9 | | 1.2x+1.5=-18.9+2.9x | | 5x-3=2x-15 | | 8(x+3)-7x=9 | | Y-37=24 | | 4(5x-2)+16=17x-4 | | 2x^2-2x+3=0 | | 18+20= | | 5*-4= | | .3x+4=17 | | 4r-9=23 | | 0.2(25-5k)=21-3(k-4) | | S-14=51 |

Equations solver categories