4X^2+2xy+y^2+4x+4y+4=0

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


Simplifying
4X2 + 2xy + y2 + 4x + 4y + 4 = 0

Reorder the terms:
4 + 4X2 + 4x + 2xy + 4y + y2 = 0

Solving
4 + 4X2 + 4x + 2xy + 4y + y2 = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 4X2 + 4x + 2xy + 4y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + 4X2 + 4x + 2xy + 4y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4X2 + 4x + 2xy + 4y + y2 = 0 + -4
4X2 + 4x + 2xy + 4y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
4X2 + 4x + 2xy + 4y + y2 = -4

Add '-4x' to each side of the equation.
4X2 + 4x + 2xy + 4y + -4x + y2 = -4 + -4x

Reorder the terms:
4X2 + 4x + -4x + 2xy + 4y + y2 = -4 + -4x

Combine like terms: 4x + -4x = 0
4X2 + 0 + 2xy + 4y + y2 = -4 + -4x
4X2 + 2xy + 4y + y2 = -4 + -4x

Add '-2xy' to each side of the equation.
4X2 + 2xy + 4y + -2xy + y2 = -4 + -4x + -2xy

Reorder the terms:
4X2 + 2xy + -2xy + 4y + y2 = -4 + -4x + -2xy

Combine like terms: 2xy + -2xy = 0
4X2 + 0 + 4y + y2 = -4 + -4x + -2xy
4X2 + 4y + y2 = -4 + -4x + -2xy

Add '-4y' to each side of the equation.
4X2 + 4y + -4y + y2 = -4 + -4x + -2xy + -4y

Combine like terms: 4y + -4y = 0
4X2 + 0 + y2 = -4 + -4x + -2xy + -4y
4X2 + y2 = -4 + -4x + -2xy + -4y

Add '-1y2' to each side of the equation.
4X2 + y2 + -1y2 = -4 + -4x + -2xy + -4y + -1y2

Combine like terms: y2 + -1y2 = 0
4X2 + 0 = -4 + -4x + -2xy + -4y + -1y2
4X2 = -4 + -4x + -2xy + -4y + -1y2

Divide each side by '4'.
X2 = -1 + -1x + -0.5xy + -1y + -0.25y2

Simplifying
X2 = -1 + -1x + -0.5xy + -1y + -0.25y2

Reorder the terms:
1 + X2 + x + 0.5xy + y + 0.25y2 = -1 + -1x + -0.5xy + -1y + -0.25y2 + 1 + x + 0.5xy + y + 0.25y2

Reorder the terms:
1 + X2 + x + 0.5xy + y + 0.25y2 = -1 + 1 + -1x + x + -0.5xy + 0.5xy + -1y + y + -0.25y2 + 0.25y2

Combine like terms: -1 + 1 = 0
1 + X2 + x + 0.5xy + y + 0.25y2 = 0 + -1x + x + -0.5xy + 0.5xy + -1y + y + -0.25y2 + 0.25y2
1 + X2 + x + 0.5xy + y + 0.25y2 = -1x + x + -0.5xy + 0.5xy + -1y + y + -0.25y2 + 0.25y2

Combine like terms: -1x + x = 0
1 + X2 + x + 0.5xy + y + 0.25y2 = 0 + -0.5xy + 0.5xy + -1y + y + -0.25y2 + 0.25y2
1 + X2 + x + 0.5xy + y + 0.25y2 = -0.5xy + 0.5xy + -1y + y + -0.25y2 + 0.25y2

Combine like terms: -0.5xy + 0.5xy = 0.0
1 + X2 + x + 0.5xy + y + 0.25y2 = 0.0 + -1y + y + -0.25y2 + 0.25y2
1 + X2 + x + 0.5xy + y + 0.25y2 = -1y + y + -0.25y2 + 0.25y2

Combine like terms: -1y + y = 0
1 + X2 + x + 0.5xy + y + 0.25y2 = 0 + -0.25y2 + 0.25y2
1 + X2 + x + 0.5xy + y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
1 + X2 + x + 0.5xy + y + 0.25y2 = 0.00

The solution to this equation could not be determined.

See similar equations:

| 2x^3+9x^2+8x+2=0 | | 4x-6=-7 | | 0=9+n^2 | | 2x(-4)+0.5(2+8x)=0 | | (6u+3y-4)(7u-5)= | | 27x-6= | | [2x+4]=16 | | 3x=6+4y | | -6w+7=-13w+13 | | 3x=4y+6 | | 4x^2+x=-285 | | -37=5v+8 | | 3x+(4y+6)=30 | | 40=4a+8 | | 6x-2=-50 | | 5(y+7)= | | (2x^9)(-4x^8)(2x^4)= | | 2(x-2)-6=10(1-x)+6 | | 52=7x+10 | | Z+14=46 | | T-5.5=8.5 | | 6xn=38 | | 7+z=23 | | -3z+7=0-10z | | X-43=17 | | -9(w-6)= | | 4-w=-4+8 | | (3-a)*2+a= | | (3-a).2+a= | | 7x(a+5)-30= | | -6x^2+4x+3= | | -4x^2+3x+7= |

Equations solver categories