(x^2+3x)dx+(4x^2+4y)dy=0

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


Simplifying
(x2 + 3x) * dx + (4x2 + 4y) * dy = 0

Reorder the terms:
(3x + x2) * dx + (4x2 + 4y) * dy = 0

Reorder the terms for easier multiplication:
dx(3x + x2) + (4x2 + 4y) * dy = 0
(3x * dx + x2 * dx) + (4x2 + 4y) * dy = 0
(3dx2 + dx3) + (4x2 + 4y) * dy = 0

Reorder the terms for easier multiplication:
3dx2 + dx3 + dy(4x2 + 4y) = 0
3dx2 + dx3 + (4x2 * dy + 4y * dy) = 0
3dx2 + dx3 + (4dx2y + 4dy2) = 0

Reorder the terms:
3dx2 + 4dx2y + dx3 + 4dy2 = 0

Solving
3dx2 + 4dx2y + dx3 + 4dy2 = 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 + 4x2y + x3 + 4y2) = 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 + 4x2y + x3 + 4y2)' equal to zero and attempt to solve:

Simplifying
3x2 + 4x2y + x3 + 4y2 = 0

Solving
3x2 + 4x2y + x3 + 4y2 = 0

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

Add '-3x2' to each side of the equation.
3x2 + 4x2y + x3 + -3x2 + 4y2 = 0 + -3x2

Reorder the terms:
3x2 + -3x2 + 4x2y + x3 + 4y2 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + 4x2y + x3 + 4y2 = 0 + -3x2
4x2y + x3 + 4y2 = 0 + -3x2
Remove the zero:
4x2y + x3 + 4y2 = -3x2

Add '-4x2y' to each side of the equation.
4x2y + x3 + -4x2y + 4y2 = -3x2 + -4x2y

Reorder the terms:
4x2y + -4x2y + x3 + 4y2 = -3x2 + -4x2y

Combine like terms: 4x2y + -4x2y = 0
0 + x3 + 4y2 = -3x2 + -4x2y
x3 + 4y2 = -3x2 + -4x2y

Add '-1x3' to each side of the equation.
x3 + -1x3 + 4y2 = -3x2 + -4x2y + -1x3

Combine like terms: x3 + -1x3 = 0
0 + 4y2 = -3x2 + -4x2y + -1x3
4y2 = -3x2 + -4x2y + -1x3

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -3x2 + -4x2y + -1x3 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -3x2 + -4x2y + -1x3 + -4y2

Simplifying
0 = -3x2 + -4x2y + -1x3 + -4y2

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:

| 84=4(8)(2)+2(2)x | | s13/4 | | 60+(8x+56)=180 | | 3x+24+2x-3=55-4x+29 | | y=x^2+10x-3 | | 6+-8=2(2+1) | | 4x-10=2x+25 | | y=x^2+10-3 | | 10+2x+16=90 | | y=.5(250)+300 | | y+2+5(y+6)= | | y=.5(200)+300 | | 113+(12x-53)=180 | | y=.5(150)+300 | | (6x^5-7y^3)(2x^6+y^8)= | | y+2+5(y+5)= | | 5n-1.3=1.5 | | y=.5(100)+300 | | Y=34+(x-2) | | y=.5(50)+300 | | y=.5(0)+300 | | -3=4m+12-m | | 4/3y0 | | 2.7=x/2.00-2x | | x+3x+15=59 | | (18w^15)(8v^6)= | | 86+(6x-2)=180 | | 12+[x+3]=10 | | (7x+2)(-x-9)= | | (1-2i)(1+3i)= | | T^2+2t-9=t+3 | | 8t^2-36t+28=0 |

Equations solver categories