(x-5y+5)dx+(5x-y+1)dy=0

Simple and best practice solution for (x-5y+5)dx+(5x-y+1)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 (x-5y+5)dx+(5x-y+1)dy=0 equation: 


Simplifying
(x + -5y + 5) * dx + (5x + -1y + 1) * dy = 0

Reorder the terms:
(5 + x + -5y) * dx + (5x + -1y + 1) * dy = 0

Reorder the terms for easier multiplication:
dx(5 + x + -5y) + (5x + -1y + 1) * dy = 0
(5 * dx + x * dx + -5y * dx) + (5x + -1y + 1) * dy = 0

Reorder the terms:
(5dx + -5dxy + dx2) + (5x + -1y + 1) * dy = 0
(5dx + -5dxy + dx2) + (5x + -1y + 1) * dy = 0

Reorder the terms:
5dx + -5dxy + dx2 + (1 + 5x + -1y) * dy = 0

Reorder the terms for easier multiplication:
5dx + -5dxy + dx2 + dy(1 + 5x + -1y) = 0
5dx + -5dxy + dx2 + (1 * dy + 5x * dy + -1y * dy) = 0

Reorder the terms:
5dx + -5dxy + dx2 + (5dxy + 1dy + -1dy2) = 0
5dx + -5dxy + dx2 + (5dxy + 1dy + -1dy2) = 0

Reorder the terms:
5dx + -5dxy + 5dxy + dx2 + 1dy + -1dy2 = 0

Combine like terms: -5dxy + 5dxy = 0
5dx + 0 + dx2 + 1dy + -1dy2 = 0
5dx + dx2 + 1dy + -1dy2 = 0

Solving
5dx + dx2 + 1dy + -1dy2 = 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), 'd'.
d(5x + x2 + y + -1y2) = 0


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 '(5x + x2 + y + -1y2)' equal to zero and attempt to solve:

Simplifying
5x + x2 + y + -1y2 = 0

Solving
5x + x2 + y + -1y2 = 0

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

Add '-5x' to each side of the equation.
5x + x2 + y + -5x + -1y2 = 0 + -5x

Reorder the terms:
5x + -5x + x2 + y + -1y2 = 0 + -5x

Combine like terms: 5x + -5x = 0
0 + x2 + y + -1y2 = 0 + -5x
x2 + y + -1y2 = 0 + -5x
Remove the zero:
x2 + y + -1y2 = -5x

Add '-1x2' to each side of the equation.
x2 + y + -1x2 + -1y2 = -5x + -1x2

Reorder the terms:
x2 + -1x2 + y + -1y2 = -5x + -1x2

Combine like terms: x2 + -1x2 = 0
0 + y + -1y2 = -5x + -1x2
y + -1y2 = -5x + -1x2

Add '-1y' to each side of the equation.
y + -1y + -1y2 = -5x + -1x2 + -1y

Combine like terms: y + -1y = 0
0 + -1y2 = -5x + -1x2 + -1y
-1y2 = -5x + -1x2 + -1y

Add 'y2' to each side of the equation.
-1y2 + y2 = -5x + -1x2 + -1y + y2

Combine like terms: -1y2 + y2 = 0
0 = -5x + -1x2 + -1y + y2

Simplifying
0 = -5x + -1x2 + -1y + y2

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:

| 0.5x-(0.16-5)=1 | | 5x-30+6=7x-4 | | y+-16=30 | | 80=23-30 | | 6-7a=-8a+2 | | 4x+5y-5x+2y= | | y+-21=-30 | | 15+-2x=9 | | 6bc+2bc-5bc= | | -49.256+17.357=d | | -49.256+17.357= | | 2x/3x=x/15-4/5 | | x^2-20x=c | | y+-21=-31 | | 41+y=60 | | 2(x-1)+4=8 | | 13x+12=6(10-5)+2(15+18) | | 41*x=246 | | n-8=-110 | | 12+y=-32 | | 10x-13=-x+9 | | 3(2x-5)+6x-2= | | x^3-6x^2-48=0 | | -6(5x+5)=-180 | | y+-31=6 | | y+-43=-41 | | x+-18=-32 | | 16+3-1*3=10 | | -3(4b+1)=-63 | | 12.00+-2.00x=10.00 | | 3p^2-5p-18=0 | | 35x^2=-x+6 |

Equations solver categories