3x^2-16y^2+2xy=0

Simple and best practice solution for 3x^2-16y^2+2xy=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^2-16y^2+2xy=0 equation: 


Simplifying
3x2 + -16y2 + 2xy = 0

Reorder the terms:
2xy + 3x2 + -16y2 = 0

Solving
2xy + 3x2 + -16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -2y)(3x + 8y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3x + 8y)' equal to zero and attempt to solve:

Simplifying
3x + 8y = 0

Solving
3x + 8y = 0

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

Add '-8y' to each side of the equation.
3x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
3x + 0 = 0 + -8y
3x = 0 + -8y
Remove the zero:
3x = -8y

Divide each side by '3'.
x = -2.666666667y

Simplifying
x = -2.666666667y
Solution
x = {2y, -2.666666667y}

See similar equations:

| 4(.5x-2)=0 | | 7x+14=5x+20 | | 3(6e+3f-2f)= | | (3x+7)(3x^2-25x+42)=0 | | (28.25+18)x=(19.85+32)x | | 8p-13=1+p | | 8(m-3)=56 | | 14m^2+1=6m^2+7m+5 | | 6d-3d-2d=35 | | 4y+15=6y-10 | | -30X=4-8X | | x^4-3x^3-x^2+3x=0 | | 28.25+32x=19.85+18x | | 6xd=48 | | 3(3x+6)*4=13.5 | | 4q=60 | | (5x+2)(5x^2-32x+12)=0 | | 7(3b+2)=35 | | 4(2m-5)-2(5m+6)=-14 | | 2m+5=5m-7-3m | | 4y-28-2y+6y=6y*6y | | -5-44=2(x-1) | | 12d+6=8d+14 | | 7x+4x+8=5-2x-3 | | 5h+6=4h+8 | | -3d=-7v+5 | | 7+(x-2)=19 | | 10x+5=15x-30 | | 7(b+2)=14 | | 6-2X=8X-14 | | 3-3x-7/4-5x=0 | | 4x-8x+5=12+8-7x |

Equations solver categories