3x^2+2xy-y^2=0

Simple and best practice solution for 3x^2+2xy-y^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 3x^2+2xy-y^2=0 equation: 


Simplifying
3x2 + 2xy + -1y2 = 0

Reorder the terms:
2xy + 3x2 + -1y2 = 0

Solving
2xy + 3x2 + -1y2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {0.3333333333y, -1y}

See similar equations:

| x-.04x=37960 | | 1X+6Y=32 | | -4(u+5)=2(3u-4) | | -5c-2d=3 | | 18a^3b-32ab^3= | | 3c+7d=-25 | | -g+7h=-45 | | 2x-3=4x+5 | | -4g+3h=-5 | | 3x+40=8-9x | | -3a+7b=-27 | | 2x^3+6x^2-8x+24=0 | | 5a+b=7 | | -4e+f=10 | | 5e+4f=44 | | -5m-20=10m+10 | | -3v-7w=40 | | 7v+3w=0 | | -2t(-3s+6s)=30-s | | 7x+y= | | -5x+7y=52 | | 2x^2-6x+3=x^2+10 | | 5x-6=24+2x | | 6x+23=14x-57 | | 6x+3=5x+5 | | (r+1)(r+4)=3 | | 2y+9=-5-7-5y | | 4+4(i+1)=4i+6 | | 5x+14=-56 | | 120x^2+x+15=0 | | X^2-4.7x+2.8=0 | | 9x+4=x-9 |

Equations solver categories