(3y-7x+7)dx+(7y-3x+3)dy=0

Simple and best practice solution for (3y-7x+7)dx+(7y-3x+3)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 (3y-7x+7)dx+(7y-3x+3)dy=0 equation: 


Simplifying
(3y + -7x + 7) * dx + (7y + -3x + 3) * dy = 0

Reorder the terms:
(7 + -7x + 3y) * dx + (7y + -3x + 3) * dy = 0

Reorder the terms for easier multiplication:
dx(7 + -7x + 3y) + (7y + -3x + 3) * dy = 0
(7 * dx + -7x * dx + 3y * dx) + (7y + -3x + 3) * dy = 0

Reorder the terms:
(7dx + 3dxy + -7dx2) + (7y + -3x + 3) * dy = 0
(7dx + 3dxy + -7dx2) + (7y + -3x + 3) * dy = 0

Reorder the terms:
7dx + 3dxy + -7dx2 + (3 + -3x + 7y) * dy = 0

Reorder the terms for easier multiplication:
7dx + 3dxy + -7dx2 + dy(3 + -3x + 7y) = 0
7dx + 3dxy + -7dx2 + (3 * dy + -3x * dy + 7y * dy) = 0

Reorder the terms:
7dx + 3dxy + -7dx2 + (-3dxy + 3dy + 7dy2) = 0
7dx + 3dxy + -7dx2 + (-3dxy + 3dy + 7dy2) = 0

Reorder the terms:
7dx + 3dxy + -3dxy + -7dx2 + 3dy + 7dy2 = 0

Combine like terms: 3dxy + -3dxy = 0
7dx + 0 + -7dx2 + 3dy + 7dy2 = 0
7dx + -7dx2 + 3dy + 7dy2 = 0

Solving
7dx + -7dx2 + 3dy + 7dy2 = 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(7x + -7x2 + 3y + 7y2) = 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 '(7x + -7x2 + 3y + 7y2)' equal to zero and attempt to solve:

Simplifying
7x + -7x2 + 3y + 7y2 = 0

Solving
7x + -7x2 + 3y + 7y2 = 0

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

Add '-7x' to each side of the equation.
7x + -7x2 + 3y + -7x + 7y2 = 0 + -7x

Reorder the terms:
7x + -7x + -7x2 + 3y + 7y2 = 0 + -7x

Combine like terms: 7x + -7x = 0
0 + -7x2 + 3y + 7y2 = 0 + -7x
-7x2 + 3y + 7y2 = 0 + -7x
Remove the zero:
-7x2 + 3y + 7y2 = -7x

Add '7x2' to each side of the equation.
-7x2 + 3y + 7x2 + 7y2 = -7x + 7x2

Reorder the terms:
-7x2 + 7x2 + 3y + 7y2 = -7x + 7x2

Combine like terms: -7x2 + 7x2 = 0
0 + 3y + 7y2 = -7x + 7x2
3y + 7y2 = -7x + 7x2

Add '-3y' to each side of the equation.
3y + -3y + 7y2 = -7x + 7x2 + -3y

Combine like terms: 3y + -3y = 0
0 + 7y2 = -7x + 7x2 + -3y
7y2 = -7x + 7x2 + -3y

Add '-7y2' to each side of the equation.
7y2 + -7y2 = -7x + 7x2 + -3y + -7y2

Combine like terms: 7y2 + -7y2 = 0
0 = -7x + 7x2 + -3y + -7y2

Simplifying
0 = -7x + 7x2 + -3y + -7y2

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:

| 10x+8y-12+6y-15x+20= | | log[3](45)-log[3]x=log[3]9 | | 3(4x-1)+11=5x+23 | | 49k^2=-294-385k | | 10x-8y-12+6y-15x+20= | | 0.2(w-10*4)=65 | | 4x-13=5+2x | | 7a+2=7 | | 4w^2=17w+15 | | 7(2+x)=5(x+6) | | s-10=20.19 | | 5m*13=-52 | | 9x^2-30+25=12 | | 10n+20=7n-12 | | -42x=-48 | | 75x^2-30x+3=8 | | 16+23x-8x=108 | | 12x+7=x-4 | | -2x-6=5x-1 | | 0.2(300-10*5)=s | | 0.2(m-8)=0.6m | | 7(2x+5)-(-8x-6)=-12-10(4x+9) | | 3i(6i-5i)= | | 2(2-7)+3=9 | | 3+x-5x=-17 | | log[5]*(7x)=log[5](4x+12) | | -2y-4y=1 | | kx^2+2kx+(k-4)=0 | | (-4)(3)= | | (625x^4)-256=0 | | 8+4x-(-8)+2x=32 | | 2x^2+2y^2-4x+8y=32 |

Equations solver categories