(6x+2y)dx+(2x+2y)dy=0

Simple and best practice solution for (6x+2y)dx+(2x+2y)dy=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 (6x+2y)dx+(2x+2y)dy=0 equation: 


Simplifying
(6x + 2y) * dx + (2x + 2y) * dy = 0

Reorder the terms for easier multiplication:
dx(6x + 2y) + (2x + 2y) * dy = 0
(6x * dx + 2y * dx) + (2x + 2y) * dy = 0

Reorder the terms:
(2dxy + 6dx2) + (2x + 2y) * dy = 0
(2dxy + 6dx2) + (2x + 2y) * dy = 0

Reorder the terms for easier multiplication:
2dxy + 6dx2 + dy(2x + 2y) = 0
2dxy + 6dx2 + (2x * dy + 2y * dy) = 0
2dxy + 6dx2 + (2dxy + 2dy2) = 0

Reorder the terms:
2dxy + 2dxy + 6dx2 + 2dy2 = 0

Combine like terms: 2dxy + 2dxy = 4dxy
4dxy + 6dx2 + 2dy2 = 0

Solving
4dxy + 6dx2 + 2dy2 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), '2d'.
2d(2xy + 3x2 + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(2xy + 3x2 + y2)' equal to zero and attempt to solve:

Simplifying
2xy + 3x2 + y2 = 0

Solving
2xy + 3x2 + y2 = 0

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

Add '-2xy' to each side of the equation.
2xy + 3x2 + -2xy + y2 = 0 + -2xy

Reorder the terms:
2xy + -2xy + 3x2 + y2 = 0 + -2xy

Combine like terms: 2xy + -2xy = 0
0 + 3x2 + y2 = 0 + -2xy
3x2 + y2 = 0 + -2xy
Remove the zero:
3x2 + y2 = -2xy

Add '-3x2' to each side of the equation.
3x2 + -3x2 + y2 = -2xy + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + y2 = -2xy + -3x2
y2 = -2xy + -3x2

Add '-1y2' to each side of the equation.
y2 + -1y2 = -2xy + -3x2 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -2xy + -3x2 + -1y2

Simplifying
0 = -2xy + -3x2 + -1y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

See similar equations:

| 8a^2-67a+48=4a-8 | | 3x-2/4=7 | | .25x+.02y=1.10 | | -3x+7=100 | | 5/4=w-4/3 | | 2a+c=1-c | | w/8-1=1 | | -27+18=x | | k^2+42=13k | | 2x+1+x-1=90 | | 5u+8-9u=28 | | 150m-75m+48250=50250-175m | | 6n^2=66n-168 | | 11x+5-8x-1= | | 5t+36=12t-48 | | 5-3(2x+3)=-16 | | 150m-75m+48250=50250-175 | | 5x+3x-1=0 | | (5-7x)(-4)= | | X^2=-36-15x | | 6u=9u-21 | | 2(3x-3)=12 | | 3y-6=2x+12 | | 3-(-8)+1=x | | 81.3-3=72 | | 17y+6=19y | | P=23+10(h-1) | | Y(-27)=4 | | 7/3x=4/3 | | y=(2p-3)x^2+(2p+2)x+5p-1 | | Y*(-27)=4 | | 3x+9+4x+7=65 |

Equations solver categories