6x^2-7xy+2y^2=

Simple and best practice solution for 6x^2-7xy+2y^2= 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^2-7xy+2y^2= equation: 


Simplifying
6x2 + -7xy + 2y2 = 0

Reorder the terms:
-7xy + 6x2 + 2y2 = 0

Solving
-7xy + 6x2 + 2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -2y)(2x + -1y) = 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 '(2x + -1y)' equal to zero and attempt to solve:

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {0.6666666667y, 0.5y}

See similar equations:

| 11X-7X+2=34 | | x-6=5x-6 | | 7+ab^3= | | 5-2lnx=6 | | x=180+16.666x | | 3x+8=5x-7 | | xy-7x+3y-21= | | 7a-3=3-6a | | 6(-10)=4(-10-5) | | 6x+8=4x+6 | | -20x+20=-16x-4(x-5) | | 3x-5=5x-13 | | -7x-3+2=-8x-8 | | 8(4n+3)=-36+2n | | 6q=11q-75 | | 27x^3y-12xy^3= | | 6r+7=13-7r | | -3(2a-7)=33 | | 6(x-6)=27-3x | | 5x-25-20=4x-52 | | 38-6m=2(m+3) | | 2x-7=59-9x | | 5x-20-20=4x-52 | | 6m-4m=2 | | (2x-3)(x+1)=2-(3x-1)(x+1) | | 2x^2+3x+15=0 | | 4+3p-3=-5 | | -2x=x-3+2 | | 11=1y-2y | | 6=y-1y | | 4-4x=1-(10x+5) | | 9-4=56 |

Equations solver categories