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

Simple and best practice solution for 3x^2+5xy-12y^2= 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= 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.
(3x + -4y)(x + 3y) = 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 + 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
Solution
x = {1.333333333y, -3y}

See similar equations:

| -9-b-8b=23 | | 11-v=17 | | 2a+3b+4b= | | x^2-2xy-63y^2= | | 6-8x=7x-10x+1 | | -((9)+5)=-14 | | 7+3d-5=1+2d-12+d | | k-18=32 | | 0=x^2+6x-72 | | 7x+4=x+7 | | 2(4z-1)=2(z+2) | | 8p-9(p+1)=19 | | 42x^2-47x-9= | | 5a^2-11a=12 | | 7a+3a+8a= | | 23x-0.11=0.8x+34.39 | | 0.5h(a+b)= | | 15x*3x-3*11=5 | | 3a^2+5ab-12b^2= | | 1/2(3a-2)=9/6 | | 27+x^3=0 | | 0=x^2-3x-18 | | 8(-2x-4)+9=-13 | | 14+3m=8n-3(n-4) | | 8x+5=4+13 | | 3a^2+36a+10= | | 7v-6(6-2v)=12 | | 10-2(2*2)+8/4= | | t=7v^2+300 | | 12-(-9e)=8-4e | | x-2=5x+18 | | 1=-3x |

Equations solver categories