2(4y+5x)dx+(5y+7y)dy=0

Simple and best practice solution for 2(4y+5x)dx+(5y+7y)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 2(4y+5x)dx+(5y+7y)dy=0 equation: 


Simplifying
2(4y + 5x) * dx + (5y + 7y) * dy = 0

Reorder the terms:
2(5x + 4y) * dx + (5y + 7y) * dy = 0

Reorder the terms for easier multiplication:
2dx(5x + 4y) + (5y + 7y) * dy = 0
(5x * 2dx + 4y * 2dx) + (5y + 7y) * dy = 0

Reorder the terms:
(8dxy + 10dx2) + (5y + 7y) * dy = 0
(8dxy + 10dx2) + (5y + 7y) * dy = 0

Combine like terms: 5y + 7y = 12y
8dxy + 10dx2 + (12y) * dy = 0

Remove parenthesis around (12y)
8dxy + 10dx2 + 12y * dy = 0

Multiply y * dy
8dxy + 10dx2 + 12dy2 = 0

Solving
8dxy + 10dx2 + 12dy2 = 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), '2d'.
2d(4xy + 5x2 + 6y2) = 0

Ignore the factor 2.

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 '(4xy + 5x2 + 6y2)' equal to zero and attempt to solve:

Simplifying
4xy + 5x2 + 6y2 = 0

Solving
4xy + 5x2 + 6y2 = 0

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

Add '-4xy' to each side of the equation.
4xy + 5x2 + -4xy + 6y2 = 0 + -4xy

Reorder the terms:
4xy + -4xy + 5x2 + 6y2 = 0 + -4xy

Combine like terms: 4xy + -4xy = 0
0 + 5x2 + 6y2 = 0 + -4xy
5x2 + 6y2 = 0 + -4xy
Remove the zero:
5x2 + 6y2 = -4xy

Add '-5x2' to each side of the equation.
5x2 + -5x2 + 6y2 = -4xy + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 + 6y2 = -4xy + -5x2
6y2 = -4xy + -5x2

Add '-6y2' to each side of the equation.
6y2 + -6y2 = -4xy + -5x2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
0 = -4xy + -5x2 + -6y2

Simplifying
0 = -4xy + -5x2 + -6y2

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:

| 29+x=49 | | (X^-3/5*z^4)^1/4 | | 8(10)=(x)(24-x) | | 1.9=p/6 | | 2(y+1)+3(y-2)=12 | | y= 3 x | | b-2/5/b1/5*b4/5 | | 0+x=-10 | | 9=6+v | | -17-15=8y+4y | | x+7.9=15.3 | | 65=25x | | 6t+11=11 | | 4.5p+0.5=7.25 | | 7u=6u-2 | | ln(x-1)=3 | | (2/5)/45=x/70 | | 64=5x+36-7 | | (192/x)-1 | | x-30=-34 | | 11=w+13 | | 2y+2y+1=0 | | 2.5y=12 | | b-4/b2*b8 | | 6+11=11 | | 11+x=35 | | r^6=1.34 | | 6x+5.4=2(4x-2.3) | | 4=5n | | 36x=4550 | | y=(x-1)+4 | | solver^6=1.34 |

Equations solver categories