5x^2+18xy+9y^2=0

Simple and best practice solution for 5x^2+18xy+9y^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+18xy+9y^2=0 equation: 


Simplifying
5x2 + 18xy + 9y2 = 0

Reorder the terms:
18xy + 5x2 + 9y2 = 0

Solving
18xy + 5x2 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + 3y)(x + 3y) = 0


Subproblem 1
Set the factor '(5x + 3y)' equal to zero and attempt to solve:

Simplifying
5x + 3y = 0

Solving
5x + 3y = 0

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

Add '-3y' to each side of the equation.
5x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 0 + -3y
5x = 0 + -3y
Remove the zero:
5x = -3y

Divide each side by '5'.
x = -0.6y

Simplifying
x = -0.6y

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 = {-0.6y, -3y}

See similar equations:

| 6x^2+13xy+6y^2=0 | | 11x^2+4-7x-9x^2-13x= | | 5x^2-32xy+12y^2=0 | | 3x^2-8xy-16y^2=0 | | 3(x-5)/2=2(x+5)/3 | | -6x^2+5+2x-14-9x^2= | | 4x^2-xy-18y^2=0 | | -10x^2+2x-9x^2+7= | | y^6+9y^5+22y^4=0 | | 2w^4+20w^3+50w^2=0 | | 4x+5x=33 | | Y=5x^2+36x+36 | | y-5x=19 | | 5Y-1=-2(Y-2) | | -12q+4=8q-6 | | 3(X-1)=X-2-3 | | 3x^2-8x-2+4x= | | 2(Y-3)=Y+7 | | 4x+6=3(x+3) | | 2(Y+7)=Y+7 | | -(6w+v)-2(-6v+6w)= | | 5X-X+1-X=X-7+2X-1 | | -3(-3w+u)+3(6u+3w)= | | 2(-6x+1)+x= | | 8X-6X+1-5=10-X-20 | | -3xv-5x+xv+2x= | | X+4X-4+5X=2X-3-X | | X^2-986x-14=o | | ((112-x)*y)+z=24 | | 4u^5*4x^4u^5*3x= | | -6(4-1)=12x | | 3=4X-X-6+X-2X |

Equations solver categories