3x(y^2+1)dx+y(x^2+2)dy=0

Simple and best practice solution for 3x(y^2+1)dx+y(x^2+2)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 3x(y^2+1)dx+y(x^2+2)dy=0 equation: 


Simplifying
3x(y2 + 1) * dx + y(x2 + 2) * dy = 0

Reorder the terms:
3x(1 + y2) * dx + y(x2 + 2) * dy = 0

Reorder the terms for easier multiplication:
3x * dx(1 + y2) + y(x2 + 2) * dy = 0

Multiply x * dx
3dx2(1 + y2) + y(x2 + 2) * dy = 0
(1 * 3dx2 + y2 * 3dx2) + y(x2 + 2) * dy = 0
(3dx2 + 3dx2y2) + y(x2 + 2) * dy = 0

Reorder the terms:
3dx2 + 3dx2y2 + y(2 + x2) * dy = 0

Reorder the terms for easier multiplication:
3dx2 + 3dx2y2 + y * dy(2 + x2) = 0

Multiply y * dy
3dx2 + 3dx2y2 + dy2(2 + x2) = 0
3dx2 + 3dx2y2 + (2 * dy2 + x2 * dy2) = 0

Reorder the terms:
3dx2 + 3dx2y2 + (dx2y2 + 2dy2) = 0
3dx2 + 3dx2y2 + (dx2y2 + 2dy2) = 0

Combine like terms: 3dx2y2 + dx2y2 = 4dx2y2
3dx2 + 4dx2y2 + 2dy2 = 0

Solving
3dx2 + 4dx2y2 + 2dy2 = 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(3x2 + 4x2y2 + 2y2) = 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 '(3x2 + 4x2y2 + 2y2)' equal to zero and attempt to solve:

Simplifying
3x2 + 4x2y2 + 2y2 = 0

Solving
3x2 + 4x2y2 + 2y2 = 0

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

Add '-3x2' to each side of the equation.
3x2 + 4x2y2 + -3x2 + 2y2 = 0 + -3x2

Reorder the terms:
3x2 + -3x2 + 4x2y2 + 2y2 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + 4x2y2 + 2y2 = 0 + -3x2
4x2y2 + 2y2 = 0 + -3x2
Remove the zero:
4x2y2 + 2y2 = -3x2

Add '-4x2y2' to each side of the equation.
4x2y2 + -4x2y2 + 2y2 = -3x2 + -4x2y2

Combine like terms: 4x2y2 + -4x2y2 = 0
0 + 2y2 = -3x2 + -4x2y2
2y2 = -3x2 + -4x2y2

Add '-2y2' to each side of the equation.
2y2 + -2y2 = -3x2 + -4x2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = -3x2 + -4x2y2 + -2y2

Simplifying
0 = -3x2 + -4x2y2 + -2y2

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:

| -8+15=5x-4x | | x^2+2ax-d^2=0 | | 4x+2=a | | 11=-4x-7x | | 5(-3)+8+3y=23 | | 0.5*x+1[(5x-4)(3x+2)]=0 | | 9(7+k)=84 | | 2y-6=4y+3 | | -3.6(1000)h+75=-51 | | 5(3)+8+3y=23 | | 8x-10=6x+38 | | -3.6(1000)h=-51 | | -3.6(100)h+75=-51 | | log4/log | | (2x-2)(4x+2)(0.5)=0 | | V=4i+3j | | 2m+85=685 | | 5(0)+8+3y=23 | | 12+-.75h=1 | | 5/9÷1/3×1/6 | | 8-9i/4i | | 2(n+3)-(4-6m)=7n | | X-(1-3X)=2X-(-X-3) | | 7x+9=3x+33 | | 1.8=3y+16.5 | | 24y-2x=-1 | | 14.7+.445f=41.4 | | -4x+15= | | (2t^2+t+3)(4t^2+2t-2)=0 | | 9y-24=3(y-2) | | 6.50h+36.50=65.75 | | -6x-4y=-13 |

Equations solver categories