(x^7+y^7)dx+(x^7-y^7)dy=0

Simple and best practice solution for (x^7+y^7)dx+(x^7-y^7)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^7+y^7)dx+(x^7-y^7)dy=0 equation: 


Simplifying
(x7 + y7) * dx + (x7 + -1y7) * dy = 0

Reorder the terms for easier multiplication:
dx(x7 + y7) + (x7 + -1y7) * dy = 0
(x7 * dx + y7 * dx) + (x7 + -1y7) * dy = 0

Reorder the terms:
(dxy7 + dx8) + (x7 + -1y7) * dy = 0
(dxy7 + dx8) + (x7 + -1y7) * dy = 0

Reorder the terms for easier multiplication:
dxy7 + dx8 + dy(x7 + -1y7) = 0
dxy7 + dx8 + (x7 * dy + -1y7 * dy) = 0
dxy7 + dx8 + (dx7y + -1dy8) = 0

Reorder the terms:
dxy7 + dx7y + dx8 + -1dy8 = 0

Solving
dxy7 + dx7y + dx8 + -1dy8 = 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(xy7 + x7y + x8 + -1y8) = 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 '(xy7 + x7y + x8 + -1y8)' equal to zero and attempt to solve:

Simplifying
xy7 + x7y + x8 + -1y8 = 0

Solving
xy7 + x7y + x8 + -1y8 = 0

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

Add '-1xy7' to each side of the equation.
xy7 + x7y + x8 + -1xy7 + -1y8 = 0 + -1xy7

Reorder the terms:
xy7 + -1xy7 + x7y + x8 + -1y8 = 0 + -1xy7

Combine like terms: xy7 + -1xy7 = 0
0 + x7y + x8 + -1y8 = 0 + -1xy7
x7y + x8 + -1y8 = 0 + -1xy7
Remove the zero:
x7y + x8 + -1y8 = -1xy7

Add '-1x7y' to each side of the equation.
x7y + x8 + -1x7y + -1y8 = -1xy7 + -1x7y

Reorder the terms:
x7y + -1x7y + x8 + -1y8 = -1xy7 + -1x7y

Combine like terms: x7y + -1x7y = 0
0 + x8 + -1y8 = -1xy7 + -1x7y
x8 + -1y8 = -1xy7 + -1x7y

Add '-1x8' to each side of the equation.
x8 + -1x8 + -1y8 = -1xy7 + -1x7y + -1x8

Combine like terms: x8 + -1x8 = 0
0 + -1y8 = -1xy7 + -1x7y + -1x8
-1y8 = -1xy7 + -1x7y + -1x8

Add 'y8' to each side of the equation.
-1y8 + y8 = -1xy7 + -1x7y + -1x8 + y8

Combine like terms: -1y8 + y8 = 0
0 = -1xy7 + -1x7y + -1x8 + y8

Simplifying
0 = -1xy7 + -1x7y + -1x8 + y8

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:

| 18u/46 | | P^2-18p+125=0 | | 3x^2-40x-675=0 | | -2y-3y+8=20 | | 7-4x+3=x-6-3x | | 4p-6=2+10 | | -4x+17=177 | | 22x+31-15x+5=50+2x+31 | | 4x+17=177 | | y=2*8-9 | | 3xdy+dx=0 | | y=2(8+9) | | 7p-14=4p+4 | | x^3+6x^2-4x-275=0 | | 4x^2+2yx+4xy=600 | | 3-5I=0 | | -16t^2+52t+4=0 | | 10/p=12.909/3.574 | | 8/x-2 | | 36=4(e+7) | | 19/12=n/16 | | 1-1-1-1-1-1-1=1a | | 5-4x=25-16x | | 1-1-1-1=1-2-3 | | x^4-82x^2+x=-1650 | | 3mn*3mn= | | 3(x+12)=5x-10 | | (2x-6i)(x-3i)= | | (2x-9i)(x-2i)= | | (2x-9i)(x+2i)= | | 7x-9=12-7x | | 2r+5=8 |

Equations solver categories