10x^2+13xy-3y^2=0

Simple and best practice solution for 10x^2+13xy-3y^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+13xy-3y^2=0 equation: 


Simplifying
10x2 + 13xy + -3y2 = 0

Reorder the terms:
13xy + 10x2 + -3y2 = 0

Solving
13xy + 10x2 + -3y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -1y)(2x + 3y) = 0


Subproblem 1
Set the factor '(5x + -1y)' equal to zero and attempt to solve:

Simplifying
5x + -1y = 0

Solving
5x + -1y = 0

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

Add 'y' to each side of the equation.
5x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
5x + 0 = 0 + y
5x = 0 + y
Remove the zero:
5x = y

Divide each side by '5'.
x = 0.2y

Simplifying
x = 0.2y

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 = {0.2y, -1.5y}

See similar equations:

| 9w^2-4= | | 2*-d=s | | 55-6x=3x+20 | | -x+1/2=4 | | 7x+3+3x=63 | | 4x-(2x-7)=2x+(4x-5) | | 6x^3+15x^2-9x=0 | | 3(x+2)-1=3-2(x+7) | | 4(2x-y)=0 | | 5x-7x+21=27 | | 12x^3-9x^2+3x= | | 5t-5=7-t | | 15y^3+20y^2= | | 18+5x/3=10x | | 1.9q-5.5-4.4q=-3.5q-4.9 | | 6x+2x+7=31 | | 1/2+4=x | | 17=6d-10+2d-5 | | ln(4-6x)-2ln(x)=ln(4) | | 1/2+4 | | a5/a2 | | 2(5a-4)-3(6+2a)=6 | | 1/2x=-4 | | 4(x+36)/9x^5*x/(x-9)(X+9) | | 24y^2+30yx^2+20yw+25x^2w=0 | | -2(2)-2= | | -3(4b+3)+(13b-4)=0 | | 4P=676+3 | | 0.72/1.8 | | 2x-69.2=90 | | 7s=-42 | | 3[6x+6-2(x+1)]=3x-3 |

Equations solver categories