10x^2-9xy-9y^2=0

Simple and best practice solution for 10x^2-9xy-9y^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 10x^2-9xy-9y^2=0 equation: 


Simplifying
10x2 + -9xy + -9y2 = 0

Reorder the terms:
-9xy + 10x2 + -9y2 = 0

Solving
-9xy + 10x2 + -9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -3y)(5x + 3y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5x + 3y)' equal to zero and attempt to solve:

Simplifying
5x + 3y = 0

Solving
5x + 3y = 0

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

Add '-3y' to each side of the equation.
5x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 0 + -3y
5x = 0 + -3y
Remove the zero:
5x = -3y

Divide each side by '5'.
x = -0.6y

Simplifying
x = -0.6y
Solution
x = {1.5y, -0.6y}

See similar equations:

| (4e)(-6f)= | | 5*3(6y)= | | x+7-5=x^2 | | 7+47x=14x^2 | | 3(1-h)+3=2h-9 | | 34788m=288 | | 0.11x+0.14(4000-x)= | | 19=9-x | | 8-y/2=17 | | 72-26y+2y^2=0 | | 7x^2-x+1-5x^2-9= | | x^2=25k^2x | | 2m+nx=x+4 | | 2m+nx=x+2 | | 9x^2=-12x-4 | | 0.11x+0.14(4000-x)=482 | | 9(7x-3)=50 | | 9x^2=-12-4 | | 56x-80=70 | | 18x^2+4-[6(x^2-2)+5]= | | 9=7z-13z-3 | | 9*20+33=12*20-27 | | 0.11x+0.14(4000-x)482= | | 27x^2-27x-30=0 | | 0.44444444444(x+3)=g | | 8f-(f+8)=34 | | 20m^3=5m | | 8f-(f+9)=34 | | ln(3x+13)=8 | | (b+1)+(b+7)=0 | | 100x^2+35x-30=0 | | .875x+2=x |

Equations solver categories