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

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


Simplifying
2x2 + 5xy + -12y2 = 0

Reorder the terms:
5xy + 2x2 + -12y2 = 0

Solving
5xy + 2x2 + -12y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -3y)(x + 4y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(x + 4y)' equal to zero and attempt to solve:

Simplifying
x + 4y = 0

Solving
x + 4y = 0

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

Add '-4y' to each side of the equation.
x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x + 0 = 0 + -4y
x = 0 + -4y
Remove the zero:
x = -4y

Simplifying
x = -4y
Solution
x = {1.5y, -4y}

See similar equations:

| 4y^2+37y-30=0 | | .5x+90=.25(x+30) | | 4x+(x+6)=24 | | -3+p/7=-5 | | -5c2= | | 6d-3(5+d)=21 | | -5x-12=2x+3 | | -8b=-76 | | x-2(x+3)=17 | | (t-36)(t+49)=0 | | 3x+4y=3x+4y | | -8=12+t+-5 | | -2x9= | | -9+13=94 | | 3(n-2)=6+n | | 25g-100= | | 3x^4-6x^3+12x^2-24x= | | 2r^2-9r=5 | | 2x-3=10x | | -7=0.75(3+10k)-5 | | 4(5c+1)-12=13c+3 | | 2.3(5y)=0.2y+1 | | 4(a-2)+3(2a+1)=5 | | s^2-7s-8=0 | | .666666(3k-15)-6=12 | | x^2+7x+12=21 | | c=4.95+0.10 | | 3x+8=11x | | .5(12b-8)=-28 | | 12x-36=144 | | 2x^3-12x^2-32x= | | x(1000+2x)= |

Equations solver categories