5x^2+4xy-12y^2=0

Simple and best practice solution for 5x^2+4xy-12y^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 5x^2+4xy-12y^2=0 equation: 


Simplifying
5x2 + 4xy + -12y2 = 0

Reorder the terms:
4xy + 5x2 + -12y2 = 0

Solving
4xy + 5x2 + -12y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -6y)(x + 2y) = 0


Subproblem 1
Set the factor '(5x + -6y)' equal to zero and attempt to solve:

Simplifying
5x + -6y = 0

Solving
5x + -6y = 0

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

Add '6y' to each side of the equation.
5x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0
5x + 0 = 0 + 6y
5x = 0 + 6y
Remove the zero:
5x = 6y

Divide each side by '5'.
x = 1.2y

Simplifying
x = 1.2y

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

Simplifying
x + 2y = 0

Solving
x + 2y = 0

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

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

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

Simplifying
x = -2y
Solution
x = {1.2y, -2y}

See similar equations:

| 4-x-2+x=x | | 189.028=2*3.14*r^2+2*3.14*r*2.7 | | 6a+8b=1500 | | 3t-6=2t+2 | | -3x+8=-1 | | (3x*7)=21 | | 4x+2+7x-19=180 | | 10x^2+8x^4= | | -16t+7.85t+107=0 | | -18=-6-3x | | 4=2(5-x) | | 5y-7-6y=-9 | | 3(3-x)+2x=8-2(x-1) | | 3/4+8=5 | | 3x-4x-x=x-6 | | 9(x-5)=18 | | 2(3x-7)=2(x+5) | | 4x-101+2x+3=180 | | (y-8)-(y+7)=5y | | z^4-81=0 | | 1-4-3+2x=3x | | 5(x+2)=6(1-x) | | 11x-18=108 | | 4n+19=6n+1 | | 5(3-4z)=20 | | 3t^2+10t=5 | | 2(3x-4)-4(2x+1)=4 | | v^2=6v-11 | | 5x-6=3x+6 | | ln(x)=0 | | 6x^2-72x+12=0 | | -(4-2x)-(2x+4)=(3x-1)+(2x-5)-(7-3x) |

Equations solver categories