x^2+5xy-6y^2=0

Simple and best practice solution for x^2+5xy-6y^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 x^2+5xy-6y^2=0 equation: 


Simplifying
x2 + 5xy + -6y2 = 0

Reorder the terms:
5xy + x2 + -6y2 = 0

Solving
5xy + x2 + -6y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y)(x + 6y) = 0


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

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

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

Simplifying
x = y

Subproblem 2
Set the factor '(x + 6y)' equal to zero and attempt to solve:

Simplifying
x + 6y = 0

Solving
x + 6y = 0

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

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

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

Simplifying
x = -6y
Solution
x = {y, -6y}

See similar equations:

| -12-2(2-a)=0 | | y-63=-54 | | (x^2+6x-20)=(x^2+2x+50) | | -7(t-8)-3(3t+1)=-11 | | (2x-5)=(x+3) | | 4x^2-35x-375=0 | | 2(x-1)-(3x-5)=2(3x-1)-16 | | 15m^2=cm^2 | | X^2=4-4x | | R+t-8r+13t= | | X^2=2-2x | | (7*1.363636364-2)=(-4*1.363636364+13) | | 0.2x+0.5(13-x)=3.2 | | 3(x-y)-2(y-x)= | | (7x-2)=(-4x+13) | | 7x=4(x-8)+3x | | 0.2x+0.5(13-x)=3.8 | | -u^2+8u-16=0 | | 5(a-b)-2(a-b)+8(a-b)= | | (9x+5)=(11x-25) | | 10000*3.12= | | 88=(5+2y)*y | | 3(2b-a)-(2a-b)= | | (X^2+2x+40)=(x^2)-x+190 | | m(x)=x^5-10x^4+25x^3 | | 8(x+y)+3(x+y)= | | 4a+7a=9 | | 4.5x-1.8=3.2x+0.8 | | X^2=3+x | | z+2.6z-5.5=(z-0.3) | | 6(x-y)-3(3x+y)= | | -4.2-6y-4.7-2y=-7y-1.3 |

Equations solver categories