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

Simple and best practice solution for 10x^2+9xy-9y^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 10x^2+9xy-9y^2= 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.
(5x + -3y)(2x + 3y) = 0


Subproblem 1
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

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 = {0.6y, -1.5y}

See similar equations:

| Y=(500-2x)x | | 7+3x-12x=3+1 | | (2x+17)(3x+7)=3575 | | -6u-w=u+w | | 5x-4-2x=3x-5 | | 3+4p=-31 | | 11n=1331 | | -6x-x=-5+4x | | 4x^2-20x=-27 | | 30x^4y^2+27x^3y^3-27x^2y^4= | | 7(y+1)-2=5 | | y=x^2-6x-21 | | 49-3x=34 | | 264306=115000x^2+9114x | | 6(2x-7)=30 | | (6x-6)(2x+8)=0 | | 2X^2-7X+72=0 | | x-(-30)=100+9 | | 6n-5=5-11+6n | | 2(m-3)+10=3(m+1)-5 | | 9-2x=1+4x-5x | | -99+180x=0 | | 50x^2-181xy+21y^2= | | 9-2x=1+4x-5 | | 3x^3-46x^2+180x-99=0 | | 2(3s-2)=26 | | 33+-2x= | | X+-6=-3x | | 6x^2+0x+7=0 | | 2+8y=4 | | (2x+9)(9x-2)=0 | | 3x(3x^2+9x)=0 |

Equations solver categories