6x^2-41xy+13y^2=0

Simple and best practice solution for 6x^2-41xy+13y^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^2-41xy+13y^2=0 equation:


Simplifying
6x2 + -41xy + 13y2 = 0

Reorder the terms:
-41xy + 6x2 + 13y2 = 0

Solving
-41xy + 6x2 + 13y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -13y)(3x + -1y) = 0

Subproblem 1

Set the factor '(2x + -13y)' equal to zero and attempt to solve: Simplifying 2x + -13y = 0 Solving 2x + -13y = 0 Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 2x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 2x + 0 = 0 + 13y 2x = 0 + 13y Remove the zero: 2x = 13y Divide each side by '2'. x = 6.5y Simplifying x = 6.5y

Subproblem 2

Set the factor '(3x + -1y)' equal to zero and attempt to solve: Simplifying 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x + 0 = 0 + y 3x = 0 + y Remove the zero: 3x = y Divide each side by '3'. x = 0.3333333333y Simplifying x = 0.3333333333y

Solution

x = {6.5y, 0.3333333333y}

See similar equations:

| 5m^2+8m+15=0 | | y/x=16 | | P=5n-25 | | 14x^2+99x+7=0 | | 25467+4567= | | 1/2(3.1x10^5*13000^2) | | 1/2(3.1x10^5*13000^2 | | 14x^2+155x+11=0 | | 1/2(3.1x10^5*143000^2) | | y=ln(1+(e^2x)) | | 1/2(3.1x10^5*14000^2) | | (x^3)-((3x^2)y)+(2xy^2)=12 | | 35r^2+48r-27=0 | | 34x+2=16x+2 | | .25(9x-1)+2=(2x-5)+1 | | y=4.9x^2+23x | | 3x-5=5*2 | | 4(-2-5x)=148 | | (9x-1)+2=(2x-5)+.75 | | 3V+6= | | 2x+3=5*3 | | 2X+3YI+Y+XI=3-I | | Slove(mz-ny)p-(nx-lz)q=ly | | 21r^2+53r-8=0 | | 5x+2=6x+8 | | 5+10s-3=8s+65-5s | | 21r^2+2r-40=0 | | 5d+12= | | sen(x)=x(1+tany) | | senx=x(1+tany) | | 8x-5=20x-4 | | 4x+9=-6x+69 |

Equations solver categories