12x^2+7xy-12y^2=0

Simple and best practice solution for 12x^2+7xy-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 12x^2+7xy-12y^2=0 equation: 


Simplifying
12x2 + 7xy + -12y2 = 0

Reorder the terms:
7xy + 12x2 + -12y2 = 0

Solving
7xy + 12x2 + -12y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '3y' to each side of the equation.
4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 0 + 3y
4x = 0 + 3y
Remove the zero:
4x = 3y

Divide each side by '4'.
x = 0.75y

Simplifying
x = 0.75y

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 = {0.75y, -1.333333333y}

See similar equations:

| -8v+19v= | | x+7-4x=19-2x | | 9k+7-k+4= | | -0.33m-4=2 | | 8x^2-13x-6=0 | | -15w+w= | | 2m+3m-m= | | 18+(10)(8)=x | | 0.5y-7=9 | | -12h-8h= | | X^4+2x-1=0 | | 5m+8=-7 | | 7-5y+2+1= | | 9x^2+15xy+4y^2=0 | | 12x+8=1500 | | -12p+12p= | | 4x-12=-3+x | | -13+6x=5x+12 | | 6x^2-162=0 | | 3x+0.1=10 | | -9g+10g= | | 3y-2=13 | | 4-4y+y-3= | | (5m^2)+3m=7 | | 15w-w= | | 7(24-x)=3x+18 | | x(365-282)3=9.5x | | -12p-12p= | | 3(x+6)=2(x-6)+x | | 9g+10g= | | 4y^2-28y+49=0 | | -15w-w= |

Equations solver categories