6x^2+5xy-6y^2=0

Simple and best practice solution for 6x^2+5xy-6y^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 6x^2+5xy-6y^2=0 equation: 


Simplifying
6x2 + 5xy + -6y2 = 0

Reorder the terms:
5xy + 6x2 + -6y2 = 0

Solving
5xy + 6x2 + -6y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(3x + -2y)' equal to zero and attempt to solve:

Simplifying
3x + -2y = 0

Solving
3x + -2y = 0

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

Add '2y' to each side of the equation.
3x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 0 + 2y
3x = 0 + 2y
Remove the zero:
3x = 2y

Divide each side by '3'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y

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

Simplifying
2x + 3y = 0

Solving
2x + 3y = 0

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

Add '-3y' to each side of the equation.
2x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 0 + -3y
2x = 0 + -3y
Remove the zero:
2x = -3y

Divide each side by '2'.
x = -1.5y

Simplifying
x = -1.5y
Solution
x = {0.6666666667y, -1.5y}

See similar equations:

| m(82)=8.5(82)-3 | | m(30)=12(30)-30 | | h(23)=9(23)-13 | | 4x+6=27 | | 46x-35=34 | | 15x+12x^2=0 | | g(14)=-3(14)+8 | | f(18)=4(18)-2 | | X^2-8x-20=0 | | 3+2x=27x | | h(2)=.385(2)-6 | | h(0)=.385(0)-6 | | h(3)=.385(3)-6 | | f(2)=-2.5(2)+7 | | f(0)=-2.5(0)+7 | | f(3)=-2.5(3)+7 | | f(2)=6.1(2)-3.3 | | f(0)=6.1(0)-3.3 | | f(-3)=6.1(-3)-3.3 | | 4Y-Y-2=34 | | h(-3)=3.25(-3) | | h(2)=3.25(2) | | h(0)=3.25(0) | | h(3)=3.25(3) | | 3x-2=8-2x | | 17+A=25 | | 234x=456-456x | | 234x=456 | | 32=x+3 | | 34x=5x-56 | | 45x-56=56 | | 34x-56=56 |

Equations solver categories