3x^2+22xy+24y^2=0

Simple and best practice solution for 3x^2+22xy+24y^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 3x^2+22xy+24y^2=0 equation: 


Simplifying
3x2 + 22xy + 24y2 = 0

Reorder the terms:
22xy + 3x2 + 24y2 = 0

Solving
22xy + 3x2 + 24y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + 4y)(x + 6y) = 0


Subproblem 1
Set the factor '(3x + 4y)' equal to zero and attempt to solve:

Simplifying
3x + 4y = 0

Solving
3x + 4y = 0

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 0 + -4y
3x = 0 + -4y
Remove the zero:
3x = -4y

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y

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 = {-1.333333333y, -6y}

See similar equations:

| D+27.7=-36.6 | | 7n-2=6n-4n | | 2h-2j= | | 12b-12=6b+33 | | 1/2x+49=2x-5 | | 5t-2t-24=0 | | 5y+6=3y+21 | | 3/k11=1/2 | | 9+1.50x=24 | | 10=6-4m | | 2(-7)+2y=14 | | 5x=121/2(35/6) | | 7(T+4)+2(t-5)=90 | | 22--8y=40 | | -3x=1+1/2 | | 3x=2+4 | | 3(x+1)-4=8 | | (6-4i)-(1-3i)= | | 36b-36+4=4(9b-8) | | 3/k11 | | 65.9=6.26r | | 16/3+3 | | 5n=2+3/4 | | -9/2y=9 | | 4(p+2)-13=2(p-1)-7p+15 | | 3x-12=5x-6+6x | | 38=4x-10 | | 4*3.33333333333333333= | | 10/3+2 | | 7+1.50p=27.50 | | -14=x_-9-6 | | 9v=4v-15 |

Equations solver categories