(5x+4)dx+(5y-5)dy=0

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


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

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

Reorder the terms for easier multiplication:
dx(4 + 5x) + (5y + -5) * dy = 0
(4 * dx + 5x * dx) + (5y + -5) * dy = 0
(4dx + 5dx2) + (5y + -5) * dy = 0

Reorder the terms:
4dx + 5dx2 + (-5 + 5y) * dy = 0

Reorder the terms for easier multiplication:
4dx + 5dx2 + dy(-5 + 5y) = 0
4dx + 5dx2 + (-5 * dy + 5y * dy) = 0
4dx + 5dx2 + (-5dy + 5dy2) = 0

Solving
4dx + 5dx2 + -5dy + 5dy2 = 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 + 5x2 + -5y + 5y2) = 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 + 5x2 + -5y + 5y2)' equal to zero and attempt to solve:

Simplifying
4x + 5x2 + -5y + 5y2 = 0

Solving
4x + 5x2 + -5y + 5y2 = 0

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

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

Reorder the terms:
4x + -4x + 5x2 + -5y + 5y2 = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + 5x2 + -5y + 5y2 = 0 + -4x
5x2 + -5y + 5y2 = 0 + -4x
Remove the zero:
5x2 + -5y + 5y2 = -4x

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

Reorder the terms:
5x2 + -5x2 + -5y + 5y2 = -4x + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 + -5y + 5y2 = -4x + -5x2
-5y + 5y2 = -4x + -5x2

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

Combine like terms: -5y + 5y = 0
0 + 5y2 = -4x + -5x2 + 5y
5y2 = -4x + -5x2 + 5y

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

Combine like terms: 5y2 + -5y2 = 0
0 = -4x + -5x2 + 5y + -5y2

Simplifying
0 = -4x + -5x2 + 5y + -5y2

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:

| 5x+10=9x-30 | | -6m=-24 | | X^2-18x+78=o | | 32=x+(-20) | | 5x+0.6=18 | | X+45=128 | | 12=2x-(x-7) | | 12=.333(28.26)h | | x^2+27x+176= | | -6(7x+4)+5(6x-8)=32 | | 3(2k+3)-2(k-5)= | | 4/7-4i | | 9d^2+30d-24=0 | | 2x-5+4=3x+7+5a | | 0.8x+3.4=7.25 | | 2x-1+4=3x+7+5a | | 5x-(x-11)=21-6x | | 15.36+0.11n=16.11-0.13n | | X+x+2+x+4+x+6+x+8=0 | | y*dx+(x+2xy^2-2y)*dy=0 | | 2(x+2)=4x-2x | | 2x-3+4=3x+7+5a | | X^2=60.75 | | 50=5(2-7r)+3(r-8) | | 2r=3h | | ydx+(x+2xy^2-2y)dy=0 | | 1.25=8 | | 2x-2+4=3x+7+5a | | 5xy=3 | | (v/88)=6 | | =[63+(-87)]+(-64) | | 2t+4b=22 |

Equations solver categories