(6xy+2y^2-5)dx+(3x^2+4xy-6)dy=0

Simple and best practice solution for (6xy+2y^2-5)dx+(3x^2+4xy-6)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 (6xy+2y^2-5)dx+(3x^2+4xy-6)dy=0 equation: 


Simplifying
(6xy + 2y2 + -5) * dx + (3x2 + 4xy + -6) * dy = 0

Reorder the terms:
(-5 + 6xy + 2y2) * dx + (3x2 + 4xy + -6) * dy = 0

Reorder the terms for easier multiplication:
dx(-5 + 6xy + 2y2) + (3x2 + 4xy + -6) * dy = 0
(-5 * dx + 6xy * dx + 2y2 * dx) + (3x2 + 4xy + -6) * dy = 0

Reorder the terms:
(-5dx + 2dxy2 + 6dx2y) + (3x2 + 4xy + -6) * dy = 0
(-5dx + 2dxy2 + 6dx2y) + (3x2 + 4xy + -6) * dy = 0

Reorder the terms:
-5dx + 2dxy2 + 6dx2y + (-6 + 4xy + 3x2) * dy = 0

Reorder the terms for easier multiplication:
-5dx + 2dxy2 + 6dx2y + dy(-6 + 4xy + 3x2) = 0
-5dx + 2dxy2 + 6dx2y + (-6 * dy + 4xy * dy + 3x2 * dy) = 0

Reorder the terms:
-5dx + 2dxy2 + 6dx2y + (4dxy2 + 3dx2y + -6dy) = 0
-5dx + 2dxy2 + 6dx2y + (4dxy2 + 3dx2y + -6dy) = 0

Reorder the terms:
-5dx + 2dxy2 + 4dxy2 + 6dx2y + 3dx2y + -6dy = 0

Combine like terms: 2dxy2 + 4dxy2 = 6dxy2
-5dx + 6dxy2 + 6dx2y + 3dx2y + -6dy = 0

Combine like terms: 6dx2y + 3dx2y = 9dx2y
-5dx + 6dxy2 + 9dx2y + -6dy = 0

Solving
-5dx + 6dxy2 + 9dx2y + -6dy = 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 + 6xy2 + 9x2y + -6y) = 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 + 6xy2 + 9x2y + -6y)' equal to zero and attempt to solve:

Simplifying
-5x + 6xy2 + 9x2y + -6y = 0

Solving
-5x + 6xy2 + 9x2y + -6y = 0

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

Add '5x' to each side of the equation.
-5x + 6xy2 + 9x2y + 5x + -6y = 0 + 5x

Reorder the terms:
-5x + 5x + 6xy2 + 9x2y + -6y = 0 + 5x

Combine like terms: -5x + 5x = 0
0 + 6xy2 + 9x2y + -6y = 0 + 5x
6xy2 + 9x2y + -6y = 0 + 5x
Remove the zero:
6xy2 + 9x2y + -6y = 5x

Add '-6xy2' to each side of the equation.
6xy2 + 9x2y + -6xy2 + -6y = 5x + -6xy2

Reorder the terms:
6xy2 + -6xy2 + 9x2y + -6y = 5x + -6xy2

Combine like terms: 6xy2 + -6xy2 = 0
0 + 9x2y + -6y = 5x + -6xy2
9x2y + -6y = 5x + -6xy2

Add '-9x2y' to each side of the equation.
9x2y + -9x2y + -6y = 5x + -6xy2 + -9x2y

Combine like terms: 9x2y + -9x2y = 0
0 + -6y = 5x + -6xy2 + -9x2y
-6y = 5x + -6xy2 + -9x2y

Add '6y' to each side of the equation.
-6y + 6y = 5x + -6xy2 + -9x2y + 6y

Combine like terms: -6y + 6y = 0
0 = 5x + -6xy2 + -9x2y + 6y

Simplifying
0 = 5x + -6xy2 + -9x2y + 6y

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:

| (u+4)*9=63 | | (q-6)*3=30 | | 3+4Y=c | | (9-6)*3=30 | | (q-6)*3=90 | | x^4=31 | | (e+1)*3=12 | | 3(11/3-8) | | (12xy-3)dx+(x^2+4y)dy=0 | | 1.2(x+3)=16 | | 12a-9ab+5b-3-(4a-7ab+3b+12)= | | x^3-14x^2+49= | | Tan(2x-pi/3) | | 3(2t+5)=33 | | 2.2x+3=13 | | 4.2x-3=13 | | 12n+206=4n-14 | | (4*x-2)*(7*x+12)+(2-4*x)*(13-25*x)=0 | | 3.2x-4=8 | | y^2-x^2=68 | | 2+7x=x+26 | | 6x+3=3+15 | | 7x+4=1x+10 | | n=4xn | | (E+2)*6=24 | | (E+2)*6= | | 15-5x=7-7x | | 4x+5=-65-6x | | 11x-14=3x+6 | | 2(n-4)+3=7 | | 6x^2+7x=208 | | 6a=58 |

Equations solver categories