6x^2-7xy-10y^2=0

Simple and best practice solution for 6x^2-7xy-10y^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^2-7xy-10y^2=0 equation: 


Simplifying
6x2 + -7xy + -10y2 = 0

Reorder the terms:
-7xy + 6x2 + -10y2 = 0

Solving
-7xy + 6x2 + -10y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -2y)(6x + 5y) = 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 '(6x + 5y)' equal to zero and attempt to solve:

Simplifying
6x + 5y = 0

Solving
6x + 5y = 0

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

Add '-5y' to each side of the equation.
6x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
6x + 0 = 0 + -5y
6x = 0 + -5y
Remove the zero:
6x = -5y

Divide each side by '6'.
x = -0.8333333333y

Simplifying
x = -0.8333333333y
Solution
x = {2y, -0.8333333333y}

See similar equations:

| 7/10x-3=8 | | 14x-13x+24=-7 | | -16+1-7x-5=-4x+2x | | l-4l-3= | | 10x=0.63 | | [7x+12]=40 | | 1.15x+0.8=2.3+-1.5x | | y(11-3y)=8 | | 6b/5=25 | | a+bi=15+7i | | p=5gh | | 12-18x=6-6x | | 144+g= | | -5(4x-9)=-3(5x+5) | | 1+2/7=x+4/5 | | 200.97=-9(3c+2) | | 3(8-4a)=-17 | | -16=7(3w+2)-16w | | 6x+9x=-9 | | 7x+4y+125=224 | | 10x=0.80 | | 4y+4+60m=180 | | .8x=y-2.4 | | -475t+2650=1500 | | 7(t+3)=3(1+t) | | 4(7-3x)=7(4-3x) | | -475+2650=1500 | | N-2=3+2n | | 6+8+x= | | 7x+2y+125=224 | | 4x-15=-39 | | 7x-3y=m |

Equations solver categories