3x^2-5xy-12y^2=0

Simple and best practice solution for 3x^2-5xy-12y^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^2-5xy-12y^2=0 equation: 


Simplifying
3x2 + -5xy + -12y2 = 0

Reorder the terms:
-5xy + 3x2 + -12y2 = 0

Solving
-5xy + 3x2 + -12y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(x + -3y)' equal to zero and attempt to solve:

Simplifying
x + -3y = 0

Solving
x + -3y = 0

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

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

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

Simplifying
x = 3y

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 = {3y, -1.333333333y}

See similar equations:

| 5(x+5)/2= | | (2n-1)(3n+2)=24 | | x+5/10= | | 1.5g+3.75=-2.25 | | w/-9+7=10 | | -19.95+1.0x=-2.35 | | 12x^2+12x-9= | | 9x^2+39x^2-30= | | 20x=48-32y | | 89-3x=24x+20 | | -2/3x=-4/15 | | -2n+7-3b=2 | | 5*x^2-18x-243=0 | | 16x=y+8 | | 7x^2+30xy-25y^2= | | x=-3-10/6 | | 2p-5=4-p | | -2(a+3)-a=I | | 3T-4T=3T-10 | | 6x+4=5(x+5)+3 | | x+33-21=13 | | 2x^2+17xy+21y^2= | | 2xy^2+6xy-56x=0 | | x+33-21= | | 0.5x-1.5=2.6x+2.2 | | 16x^2-8x-3= | | y+6=5y-4 | | y+6=4y+2 | | 55x^2+7x-6= | | 4(6x+30)=96 | | -6x+7=4x-23 | | 2x+10=2y |

Equations solver categories