5x^2-13xy+6y^2=0

Simple and best practice solution for 5x^2-13xy+6y^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 5x^2-13xy+6y^2=0 equation: 


Simplifying
5x2 + -13xy + 6y2 = 0

Reorder the terms:
-13xy + 5x2 + 6y2 = 0

Solving
-13xy + 5x2 + 6y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -2y)(5x + -3y) = 0


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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

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

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

Simplifying
x = 2y

Subproblem 2
Set the factor '(5x + -3y)' equal to zero and attempt to solve:

Simplifying
5x + -3y = 0

Solving
5x + -3y = 0

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

Add '3y' to each side of the equation.
5x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = 0 + 3y
5x = 0 + 3y
Remove the zero:
5x = 3y

Divide each side by '5'.
x = 0.6y

Simplifying
x = 0.6y
Solution
x = {2y, 0.6y}

See similar equations:

| X/7+x/8=15/56 | | x(3x-6)=(3x+6)(x-5) | | 2=4(x-4)-(x-6) | | 7x-4=4x-55 | | 16t^2+96= | | 5x-(2x+3)=15 | | 8x-3=4x-51 | | 135x-17=126x+18 | | 15x=20x-80 | | 17=-9x+12/6 | | 4x-2(2-2x)=6x-2 | | 6a-5=23-2g | | 12x-91=-3 | | 4ln(x-6)=-4 | | 7x+2=3w+94 | | (x-3)^1/2+2x=42 | | .7(34)+34= | | .7(.7)+34= | | .8x=.3+.6x | | -18(9)+9y=-43 | | b=a+(n-1) | | -18(-18)+9y=-43 | | 1.4(-1.3)-1.3y=-6.3 | | 1.4(1.4)-1.3y=-6.3 | | -3y=18 | | -1.8(1.6)+1.6y=-7.9 | | 14y-16y=48 | | -1.8(.6)+1.6y=-7.9 | | -1.8(-1.8)+1.6y=-7.9 | | -1.8(-1.8)+1.6=-7.9 | | 6(5)-7(-3)=-4 | | -.1(-.1)+44= |

Equations solver categories