6x^2-4y^2+5xy=0

Simple and best practice solution for 6x^2-4y^2+5xy=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^2-4y^2+5xy=0 equation: 


Simplifying
6x2 + -4y2 + 5xy = 0

Reorder the terms:
5xy + 6x2 + -4y2 = 0

Solving
5xy + 6x2 + -4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -1y)(3x + 4y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3x + 4y)' equal to zero and attempt to solve:

Simplifying
3x + 4y = 0

Solving
3x + 4y = 0

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 0 + -4y
3x = 0 + -4y
Remove the zero:
3x = -4y

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y
Solution
x = {0.5y, -1.333333333y}

See similar equations:

| 8cos(9x)sin(6y)=6 | | (3.2-1.5)x(-5)= | | -7x/-5=-35 | | 5(x-3)=x+4x+12 | | a^2-11a-10=0 | | -7x/5=-35 | | 4(x+2)-7=6x+8-3x | | 2xy+x^2+y^2=0 | | t^2-2t+1=-4 | | 9-4(1-2x)=-35 | | 6-m=10 | | 64k+56=2 | | 8x-8=9x-1 | | 7(t-4)+3t=5(2t+3)-10 | | -x/4=-6/7 | | 7(t-4)+3t=5(2t+3)-19 | | 5(x-3)=x+2x-15 | | -m/7=12 | | -m/8=16 | | x/6-x/2=-4 | | 5x^2-34x+48=0 | | 2(4y-1)-5(y-2)=17 | | 5x+9+13= | | p=-48/6 | | 140+10x=80+20x | | -4(x-1)-3x=8-7(x+7) | | 4-x+9=6x+18 | | 2x+4-3=4x | | 6p+55=7 | | 7+3=40 | | x-7/8=-3/4 | | (4x-7)+(3x+8)= |

Equations solver categories