(7x^2-2xy+4)dx+(8y^2-x^2+7)dy=0

Simple and best practice solution for (7x^2-2xy+4)dx+(8y^2-x^2+7)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 (7x^2-2xy+4)dx+(8y^2-x^2+7)dy=0 equation: 


Simplifying
(7x2 + -2xy + 4) * dx + (8y2 + -1x2 + 7) * dy = 0

Reorder the terms:
(4 + -2xy + 7x2) * dx + (8y2 + -1x2 + 7) * dy = 0

Reorder the terms for easier multiplication:
dx(4 + -2xy + 7x2) + (8y2 + -1x2 + 7) * dy = 0
(4 * dx + -2xy * dx + 7x2 * dx) + (8y2 + -1x2 + 7) * dy = 0
(4dx + -2dx2y + 7dx3) + (8y2 + -1x2 + 7) * dy = 0

Reorder the terms:
4dx + -2dx2y + 7dx3 + (7 + -1x2 + 8y2) * dy = 0

Reorder the terms for easier multiplication:
4dx + -2dx2y + 7dx3 + dy(7 + -1x2 + 8y2) = 0
4dx + -2dx2y + 7dx3 + (7 * dy + -1x2 * dy + 8y2 * dy) = 0

Reorder the terms:
4dx + -2dx2y + 7dx3 + (-1dx2y + 7dy + 8dy3) = 0
4dx + -2dx2y + 7dx3 + (-1dx2y + 7dy + 8dy3) = 0

Reorder the terms:
4dx + -2dx2y + -1dx2y + 7dx3 + 7dy + 8dy3 = 0

Combine like terms: -2dx2y + -1dx2y = -3dx2y
4dx + -3dx2y + 7dx3 + 7dy + 8dy3 = 0

Solving
4dx + -3dx2y + 7dx3 + 7dy + 8dy3 = 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(4x + -3x2y + 7x3 + 7y + 8y3) = 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 '(4x + -3x2y + 7x3 + 7y + 8y3)' equal to zero and attempt to solve:

Simplifying
4x + -3x2y + 7x3 + 7y + 8y3 = 0

Solving
4x + -3x2y + 7x3 + 7y + 8y3 = 0

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

Add '-4x' to each side of the equation.
4x + -3x2y + 7x3 + 7y + -4x + 8y3 = 0 + -4x

Reorder the terms:
4x + -4x + -3x2y + 7x3 + 7y + 8y3 = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + -3x2y + 7x3 + 7y + 8y3 = 0 + -4x
-3x2y + 7x3 + 7y + 8y3 = 0 + -4x
Remove the zero:
-3x2y + 7x3 + 7y + 8y3 = -4x

Add '3x2y' to each side of the equation.
-3x2y + 7x3 + 7y + 3x2y + 8y3 = -4x + 3x2y

Reorder the terms:
-3x2y + 3x2y + 7x3 + 7y + 8y3 = -4x + 3x2y

Combine like terms: -3x2y + 3x2y = 0
0 + 7x3 + 7y + 8y3 = -4x + 3x2y
7x3 + 7y + 8y3 = -4x + 3x2y

Add '-7x3' to each side of the equation.
7x3 + 7y + -7x3 + 8y3 = -4x + 3x2y + -7x3

Reorder the terms:
7x3 + -7x3 + 7y + 8y3 = -4x + 3x2y + -7x3

Combine like terms: 7x3 + -7x3 = 0
0 + 7y + 8y3 = -4x + 3x2y + -7x3
7y + 8y3 = -4x + 3x2y + -7x3

Add '-7y' to each side of the equation.
7y + -7y + 8y3 = -4x + 3x2y + -7x3 + -7y

Combine like terms: 7y + -7y = 0
0 + 8y3 = -4x + 3x2y + -7x3 + -7y
8y3 = -4x + 3x2y + -7x3 + -7y

Add '-8y3' to each side of the equation.
8y3 + -8y3 = -4x + 3x2y + -7x3 + -7y + -8y3

Combine like terms: 8y3 + -8y3 = 0
0 = -4x + 3x2y + -7x3 + -7y + -8y3

Simplifying
0 = -4x + 3x2y + -7x3 + -7y + -8y3

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:

| w+56=-82 | | -36r=-324 | | W^18-9w^9y^5+14y^10=0 | | -3(a-4)-4(1-a)=a+4+4a+4 | | X^2+y^2-10x+12y+61=81 | | 5=t*(-13/2) | | 4x+52=2x-12 | | 3x^2-41x=-100 | | x+25=-7(x-7) | | 4x+5x-6x=1 | | 8(y-2)+15=23 | | 4x+5x-6x= | | -4k+4(k+1)=-4k-4(k-3) | | 39=13n | | a+2(b+c)= | | 4r^2+3r-10=0 | | 5=t*(-3-10/2) | | M=mp | | -3/4d-69 | | 6=n-17 | | M=m | | -4x=8y+32 | | 28-2m=-7+5(8m+7) | | 2sin^2x-5sinx+2=0 | | 3.5x=245 | | 2x+13=12x-5 | | 9/4x-8-3/4x-1=5 | | 615+25w=975+15w | | 8y+9-12y=4y-13-5y | | 3/4-5/7m | | 59-19=5(x-7) | | t/8=6 |

Equations solver categories