(2x-5y-2)dx+(5x-y-5)dy=0

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


Simplifying
(2x + -5y + -2) * dx + (5x + -1y + -5) * dy = 0

Reorder the terms:
(-2 + 2x + -5y) * dx + (5x + -1y + -5) * dy = 0

Reorder the terms for easier multiplication:
dx(-2 + 2x + -5y) + (5x + -1y + -5) * dy = 0
(-2 * dx + 2x * dx + -5y * dx) + (5x + -1y + -5) * dy = 0

Reorder the terms:
(-2dx + -5dxy + 2dx2) + (5x + -1y + -5) * dy = 0
(-2dx + -5dxy + 2dx2) + (5x + -1y + -5) * dy = 0

Reorder the terms:
-2dx + -5dxy + 2dx2 + (-5 + 5x + -1y) * dy = 0

Reorder the terms for easier multiplication:
-2dx + -5dxy + 2dx2 + dy(-5 + 5x + -1y) = 0
-2dx + -5dxy + 2dx2 + (-5 * dy + 5x * dy + -1y * dy) = 0

Reorder the terms:
-2dx + -5dxy + 2dx2 + (5dxy + -5dy + -1dy2) = 0
-2dx + -5dxy + 2dx2 + (5dxy + -5dy + -1dy2) = 0

Reorder the terms:
-2dx + -5dxy + 5dxy + 2dx2 + -5dy + -1dy2 = 0

Combine like terms: -5dxy + 5dxy = 0
-2dx + 0 + 2dx2 + -5dy + -1dy2 = 0
-2dx + 2dx2 + -5dy + -1dy2 = 0

Solving
-2dx + 2dx2 + -5dy + -1dy2 = 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(-2x + 2x2 + -5y + -1y2) = 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 '(-2x + 2x2 + -5y + -1y2)' equal to zero and attempt to solve: Simplifying -2x + 2x2 + -5y + -1y2 = 0 Solving -2x + 2x2 + -5y + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + 2x2 + -5y + 2x + -1y2 = 0 + 2x Reorder the terms: -2x + 2x + 2x2 + -5y + -1y2 = 0 + 2x Combine like terms: -2x + 2x = 0 0 + 2x2 + -5y + -1y2 = 0 + 2x 2x2 + -5y + -1y2 = 0 + 2x Remove the zero: 2x2 + -5y + -1y2 = 2x Add '-2x2' to each side of the equation. 2x2 + -5y + -2x2 + -1y2 = 2x + -2x2 Reorder the terms: 2x2 + -2x2 + -5y + -1y2 = 2x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + -5y + -1y2 = 2x + -2x2 -5y + -1y2 = 2x + -2x2 Add '5y' to each side of the equation. -5y + 5y + -1y2 = 2x + -2x2 + 5y Combine like terms: -5y + 5y = 0 0 + -1y2 = 2x + -2x2 + 5y -1y2 = 2x + -2x2 + 5y Add 'y2' to each side of the equation. -1y2 + y2 = 2x + -2x2 + 5y + y2 Combine like terms: -1y2 + y2 = 0 0 = 2x + -2x2 + 5y + y2 Simplifying 0 = 2x + -2x2 + 5y + y2 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:

| 10+2(4+w)= | | 3log(8)2x=9 | | 4x-3x+6=6x-4 | | http://www.thelearningodyssey.com/Assess/DPT/QIEImagesStorage/AQ13A/AQ13AI_A1552_15_stem1_1.gif | | log(x+1)-log(3x)=0 | | 2.4(x-1)=12 | | (22x)/2=88 | | 28=-16t^2+50t | | 2(m+1)=3 | | 4x+8=m | | (1/2x-2/3)^2=1 | | 0.02x+8.9=12 | | 7k-3=3k-5 | | x(22)=88 | | 5/3x-6/x=4 | | M-(-12)/-4=5 | | 29x-22=-4(1-6x) | | -4x-5=3 | | X^2=-13+4x | | y=2sin(5x-3) | | Log(7x+2)=1 | | 3x=Log[2][128] | | (3n+2)(4n+3)=0 | | 24-6x=11 | | 4x+6=X^2-3x-12 | | x^2-12x+36=22 | | 2sin^2(x)+5sin(x)-3=0 | | -10n+3(8+8x)=-6(x-4) | | -4(5x-2)+5=-7 | | 12x+3x^2=300 | | 6=-3.4x | | r-4=8+7r |

Equations solver categories