3x^2+2xy-8y^2=0

Simple and best practice solution for 3x^2+2xy-8y^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-8y^2=0 equation: 


Simplifying
3x2 + 2xy + -8y2 = 0

Reorder the terms:
2xy + 3x2 + -8y2 = 0

Solving
2xy + 3x2 + -8y2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {1.333333333y, -2y}

See similar equations:

| 4m+8m-140=0 | | 2x^2-11xy+5y^2=0 | | 6z+7=0 | | 6n-39=-3 | | 3x+7x-9-x= | | 4(0.2x+0.56)=1.61-2.37x | | 5f-10= | | 4a=5.75 | | 0j=30-4j | | 5f-10=3f+6 | | -60x^2+64x+60=0 | | 197=95-x | | 4(v+3)-7v=6 | | 5(2d+5)=-(9-d) | | -15x^2+16x+1=0 | | -17k=24+13 | | -60x^2+64x+4=64 | | 17k=24+13 | | -60x^2+64x+4=0 | | 2x^2+13x-70=0 | | 157=11-v | | y=18a^2-3a-10 | | 4x+11=59 | | y=18a^2-3-10 | | 34=5(v+7)-7v | | 17.4=2.9xn | | x=-2,0,1 | | 36=7+4b | | n=10+m | | 3y+8=2 | | 9y+4.0=14(y-1) | | 5y=3y(3) |

Equations solver categories