(8x+6y)dx+(6x+4y)dy=0

Simple and best practice solution for (8x+6y)dx+(6x+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 (8x+6y)dx+(6x+4y)dy=0 equation: 


Simplifying
(8x + 6y) * dx + (6x + 4y) * dy = 0

Reorder the terms for easier multiplication:
dx(8x + 6y) + (6x + 4y) * dy = 0
(8x * dx + 6y * dx) + (6x + 4y) * dy = 0

Reorder the terms:
(6dxy + 8dx2) + (6x + 4y) * dy = 0
(6dxy + 8dx2) + (6x + 4y) * dy = 0

Reorder the terms for easier multiplication:
6dxy + 8dx2 + dy(6x + 4y) = 0
6dxy + 8dx2 + (6x * dy + 4y * dy) = 0
6dxy + 8dx2 + (6dxy + 4dy2) = 0

Reorder the terms:
6dxy + 6dxy + 8dx2 + 4dy2 = 0

Combine like terms: 6dxy + 6dxy = 12dxy
12dxy + 8dx2 + 4dy2 = 0

Solving
12dxy + 8dx2 + 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), '4d'.
4d(3xy + 2x2 + y2) = 0

Factor a trinomial.
4d((2x + y)(x + y)) = 0

Ignore the factor 4.

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 '(2x + y)' equal to zero and attempt to solve:

Simplifying
2x + y = 0

Solving
2x + y = 0

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

Add '-2x' to each side of the equation.
2x + -2x + y = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + y = 0 + -2x
y = 0 + -2x
Remove the zero:
y = -2x

Add '-1y' to each side of the equation.
y + -1y = -2x + -1y

Combine like terms: y + -1y = 0
0 = -2x + -1y

Simplifying
0 = -2x + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(x + y)' equal to zero and attempt to solve:

Simplifying
x + y = 0

Solving
x + y = 0

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

Add '-1x' to each side of the equation.
x + -1x + y = 0 + -1x

Combine like terms: x + -1x = 0
0 + y = 0 + -1x
y = 0 + -1x
Remove the zero:
y = -1x

Add '-1y' to each side of the equation.
y + -1y = -1x + -1y

Combine like terms: y + -1y = 0
0 = -1x + -1y

Simplifying
0 = -1x + -1y

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:

| 3ab+4ab+5= | | 12=2g-3.5 | | -5+25x-40+10=-12x | | 5(3x-1)+10x=4x+37 | | x^2-3(x-p)-2=0 | | 6x-1=-2x+7 | | 8x^2-3x-36=-12 | | 9x+5y=-48 | | -2x+6x-2=14 | | -26-8n=(2n+2) | | 8+7-16=h | | 7k-k-8= | | 20-z=17 | | ax-y+z=b | | .5x+8=38 | | x^2+32x+23= | | 13(x-5)+4(x-5)=38 | | .5X(8)=38 | | 13(5)+4(x-5)=38 | | 13(x-5)+4(5)=38 | | -20=10-7x | | 5m-10=2m | | 3b-5-11b-6= | | -0.7x+7.77=-0.5x+4.37 | | 4(3x+7)=-48+40 | | 8h+7h=16 | | 15+6k=-2(k+7) | | -6x+15=3(x-1) | | 25a^2+90ag+81g^2= | | x+3+3y=83 | | -(4n+2)=2(y+4) | | 2(n+1)=5h-7 |

Equations solver categories