3x^2-y^2=2xy

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


Simplifying
3x2 + -1y2 = 2xy

Solving
3x2 + -1y2 = 2xy

Solving for variable 'x'.

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

Combine like terms: 2xy + -2xy = 0
-2xy + 3x2 + -1y2 = 0

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


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

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

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

Simplifying
x = y

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

Simplifying
3x + y = 0

Solving
3x + y = 0

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

Add '-1y' to each side of the equation.
3x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
3x + 0 = 0 + -1y
3x = 0 + -1y
Remove the zero:
3x = -1y

Divide each side by '3'.
x = -0.3333333333y

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

See similar equations:

| 2x^2+3+4x= | | (e-f)3=10 | | 2x-x+3-4x+9=29 | | (6x+7)-(2x-4)= | | 3p-9=-29 | | 2(j+4)+j=17 | | 24=(10-x)+(20-x) | | 3x(x+1)=2x | | -9+4r=-15 | | -4(e+6)=40 | | 4(c-2)=3(c-1) | | 4a^2b+2ab^2-8ab=0 | | (5b-3)(6b+5)=0 | | 1.5+29.5x=7 | | 12u-8u=12 | | e^3x=22 | | (c+9)3=30 | | z+3.4=6-0.6 | | 4(2x-5)+2(7-x)=14-(8-x) | | x^2-y^2-15=0 | | 2q+7=3q+2 | | (-1.7)+4.31= | | g(p+3)=2x^2+2x+8 | | 5+v=9+2 | | 2/3+w=2 | | x^2+3x=3(1-x^2) | | -7=-35 | | 16x^3-250y^3=0 | | 75x^2-40x-3= | | 12x^2+24x+3y^2-12y-4z+28=0 | | a+a+2+a+4=a+22 | | 5m+8=-2m+22 |

Equations solver categories