2x^2+5xy-3y^2=

Simple and best practice solution for 2x^2+5xy-3y^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 2x^2+5xy-3y^2= equation: 


Simplifying
2x2 + 5xy + -3y2 = 0

Reorder the terms:
5xy + 2x2 + -3y2 = 0

Solving
5xy + 2x2 + -3y2 = 0

Solving for variable 'x'.

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


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

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y

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

Simplifying
x + 3y = 0

Solving
x + 3y = 0

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

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

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

Simplifying
x = -3y
Solution
x = {0.5y, -3y}

See similar equations:

| 5(3g+4)-3(2g+5)= | | 2x^2+xy-y^2= | | 25-5.5+(8.5+6.5)=5 | | -1.2k=7.8 | | 8s=-10.4 | | -0.8b=-6.2 | | 7x+11=2x+26 | | 2(4x-3x)+12=7x-5(2x-7) | | 4m=-0.14 | | 24x^2-17x-6=0 | | 23(3x+4)-17(5x+3)=4(7x+5)+60 | | 9.73s=0 | | 6b=0.36 | | 8u^2+11u+3=0 | | 3(18400-2y)+y=21200 | | b-6=b+5 | | 0.1r=1 | | 8k=7.2 | | 4w=0.04 | | 30+y+5=3(y+5) | | -62=-12x | | x+5-x+30+5=3(x+30) | | 5(3x-2)-5x-13(4-x)=11x | | 3(y-3)=6(y-4) | | h^2+2h-120=0 | | -0.4d=-6.4 | | 5r=-0.15 | | 10h=-0.1 | | 10x*10x+6x-4=0 | | -8g=0.48 | | 0.3k=-12 | | 4[x+2(x-1)]=10 |

Equations solver categories