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

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


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

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

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

Reorder the terms for easier multiplication:
dxy + dx2 + -1dy(x + -1y) = 0
dxy + dx2 + (x * -1dy + -1y * -1dy) = 0
dxy + dx2 + (-1dxy + 1dy2) = 0

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

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

Solving
dx2 + 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(x2 + y2) = 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 '(x2 + y2)' equal to zero and attempt to solve: Simplifying x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = 0 + -1x2 y2 = 0 + -1x2 Remove the zero: y2 = -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x2 + -1y2 Simplifying 0 = -1x2 + -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:

| 1/3(3.14•25)6 | | X*7+3=31 | | 10n-0.375=0.1n-0.372 | | 3a+6=26-2a | | 3v+3=8(v-4) | | 6p+25=6(p-3)-3(4-3p) | | x^2-0.5x+2=0 | | 185x-427=1793 | | (x-35)+(x+83)=180 | | 185-437x=-1793 | | Ax+b=x-3 | | 437-51x=185 | | 51-427x=185 | | 6(7x+4)-7=38 | | 3(x+1)-(x-9)+(x+3)=(x+4)+(x+2) | | 42x+24-7=38 | | C=39.61+0.25x | | sina=1.15 | | dy/dx=x^2-y^2/3xy | | 0.4(6x+36)=2.4(x+6) | | 3x^2-2xy+4y^2=25 | | (2x-8)+6=18 | | 10(3g+4)= | | -12(x+8)=-3(x-47) | | 5(f+5)= | | 3x^2-2xy-4y^2=25 | | 8(f+2)= | | 4x+(2x-26)=444 | | (x-3)-6=(-1)(7x+9) | | 4x+(2x-13)=444 | | 3+2(p-1)=12 | | 8(f+2)+5(f+5)= |

Equations solver categories