dy(4x+3y+1)-(3x-4y+1)dx=0

Simple and best practice solution for dy(4x+3y+1)-(3x-4y+1)dx=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 dy(4x+3y+1)-(3x-4y+1)dx=0 equation: 


Simplifying
dy(4x + 3y + 1) + -1(3x + -4y + 1) * dx = 0

Reorder the terms:
dy(1 + 4x + 3y) + -1(3x + -4y + 1) * dx = 0
(1 * dy + 4x * dy + 3y * dy) + -1(3x + -4y + 1) * dx = 0

Reorder the terms:
(4dxy + 1dy + 3dy2) + -1(3x + -4y + 1) * dx = 0
(4dxy + 1dy + 3dy2) + -1(3x + -4y + 1) * dx = 0

Reorder the terms:
4dxy + 1dy + 3dy2 + -1(1 + 3x + -4y) * dx = 0

Reorder the terms for easier multiplication:
4dxy + 1dy + 3dy2 + -1dx(1 + 3x + -4y) = 0
4dxy + 1dy + 3dy2 + (1 * -1dx + 3x * -1dx + -4y * -1dx) = 0

Reorder the terms:
4dxy + 1dy + 3dy2 + (-1dx + 4dxy + -3dx2) = 0
4dxy + 1dy + 3dy2 + (-1dx + 4dxy + -3dx2) = 0

Reorder the terms:
-1dx + 4dxy + 4dxy + -3dx2 + 1dy + 3dy2 = 0

Combine like terms: 4dxy + 4dxy = 8dxy
-1dx + 8dxy + -3dx2 + 1dy + 3dy2 = 0

Solving
-1dx + 8dxy + -3dx2 + 1dy + 3dy2 = 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(-1x + 8xy + -3x2 + y + 3y2) = 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 '(-1x + 8xy + -3x2 + y + 3y2)' equal to zero and attempt to solve:

Simplifying
-1x + 8xy + -3x2 + y + 3y2 = 0

Solving
-1x + 8xy + -3x2 + y + 3y2 = 0

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

Add 'x' to each side of the equation.
-1x + 8xy + -3x2 + y + x + 3y2 = 0 + x

Reorder the terms:
-1x + x + 8xy + -3x2 + y + 3y2 = 0 + x

Combine like terms: -1x + x = 0
0 + 8xy + -3x2 + y + 3y2 = 0 + x
8xy + -3x2 + y + 3y2 = 0 + x
Remove the zero:
8xy + -3x2 + y + 3y2 = x

Add '-8xy' to each side of the equation.
8xy + -3x2 + y + -8xy + 3y2 = x + -8xy

Reorder the terms:
8xy + -8xy + -3x2 + y + 3y2 = x + -8xy

Combine like terms: 8xy + -8xy = 0
0 + -3x2 + y + 3y2 = x + -8xy
-3x2 + y + 3y2 = x + -8xy

Add '3x2' to each side of the equation.
-3x2 + y + 3x2 + 3y2 = x + -8xy + 3x2

Reorder the terms:
-3x2 + 3x2 + y + 3y2 = x + -8xy + 3x2

Combine like terms: -3x2 + 3x2 = 0
0 + y + 3y2 = x + -8xy + 3x2
y + 3y2 = x + -8xy + 3x2

Add '-1y' to each side of the equation.
y + -1y + 3y2 = x + -8xy + 3x2 + -1y

Combine like terms: y + -1y = 0
0 + 3y2 = x + -8xy + 3x2 + -1y
3y2 = x + -8xy + 3x2 + -1y

Add '-3y2' to each side of the equation.
3y2 + -3y2 = x + -8xy + 3x2 + -1y + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 = x + -8xy + 3x2 + -1y + -3y2

Simplifying
0 = x + -8xy + 3x2 + -1y + -3y2

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:

| (9x+7)(9x-7)= | | X+x+10+90= | | 0=.2x^2+3x-20 | | W+14=3 | | p^2-p-72=0 | | (9x-6)(7x+9)= | | x+x*.2=y | | 2(8x+4)= | | 8x^2-5x^3-2x^2-8x^3= | | x+x(1.16)+x(.42)=65000 | | -119=7(-3-2n) | | 20+3x+y=160 | | 9x+27y-3x=29 | | 35.79x-12.24=(8.61-15.91x)(-4) | | x(1.16)+x(.42)=65000 | | 9m+15=-1+m | | 9m+15=-1+m | | -3(1-7n)-1=-151 | | 36m+60= | | 1+2i=-15 | | ln(x+1)+ln(x-2)=2*ln(x-1)-ln(x^2-1) | | 4(1-4n)=-108 | | 275=10(23-S)+25S | | 7-2x=9-x-1 | | p+qx=r | | 8.425-3.413x=9.214x+12.081 | | x+5y-4z=-10 | | 4x+3(2x+5)=95 | | 7x^2+6x-5=0 | | 2ax=4a | | 6y=2x-14 | | 18p+3-8p-5= |

Equations solver categories