(2x+3y-5)dy=(5-3x-2y)dx

Simple and best practice solution for (2x+3y-5)dy=(5-3x-2y)dx 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+3y-5)dy=(5-3x-2y)dx equation:


Simplifying
(2x + 3y + -5) * dy = (5 + -3x + -2y) * dx

Reorder the terms:
(-5 + 2x + 3y) * dy = (5 + -3x + -2y) * dx

Reorder the terms for easier multiplication:
dy(-5 + 2x + 3y) = (5 + -3x + -2y) * dx
(-5 * dy + 2x * dy + 3y * dy) = (5 + -3x + -2y) * dx

Reorder the terms:
(2dxy + -5dy + 3dy2) = (5 + -3x + -2y) * dx
(2dxy + -5dy + 3dy2) = (5 + -3x + -2y) * dx

Reorder the terms for easier multiplication:
2dxy + -5dy + 3dy2 = dx(5 + -3x + -2y)
2dxy + -5dy + 3dy2 = (5 * dx + -3x * dx + -2y * dx)

Reorder the terms:
2dxy + -5dy + 3dy2 = (5dx + -2dxy + -3dx2)
2dxy + -5dy + 3dy2 = (5dx + -2dxy + -3dx2)

Solving
2dxy + -5dy + 3dy2 = 5dx + -2dxy + -3dx2

Solving for variable 'd'.

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

Add '-5dx' to each side of the equation.
2dxy + -5dy + -5dx + 3dy2 = 5dx + -2dxy + -5dx + -3dx2

Reorder the terms:
-5dx + 2dxy + -5dy + 3dy2 = 5dx + -2dxy + -5dx + -3dx2

Reorder the terms:
-5dx + 2dxy + -5dy + 3dy2 = 5dx + -5dx + -2dxy + -3dx2

Combine like terms: 5dx + -5dx = 0
-5dx + 2dxy + -5dy + 3dy2 = 0 + -2dxy + -3dx2
-5dx + 2dxy + -5dy + 3dy2 = -2dxy + -3dx2

Add '2dxy' to each side of the equation.
-5dx + 2dxy + -5dy + 2dxy + 3dy2 = -2dxy + 2dxy + -3dx2

Reorder the terms:
-5dx + 2dxy + 2dxy + -5dy + 3dy2 = -2dxy + 2dxy + -3dx2

Combine like terms: 2dxy + 2dxy = 4dxy
-5dx + 4dxy + -5dy + 3dy2 = -2dxy + 2dxy + -3dx2

Combine like terms: -2dxy + 2dxy = 0
-5dx + 4dxy + -5dy + 3dy2 = 0 + -3dx2
-5dx + 4dxy + -5dy + 3dy2 = -3dx2

Add '3dx2' to each side of the equation.
-5dx + 4dxy + -5dy + 3dx2 + 3dy2 = -3dx2 + 3dx2

Reorder the terms:
-5dx + 4dxy + 3dx2 + -5dy + 3dy2 = -3dx2 + 3dx2

Combine like terms: -3dx2 + 3dx2 = 0
-5dx + 4dxy + 3dx2 + -5dy + 3dy2 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-5x + 4xy + 3x2 + -5y + 3y2) = 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 '(-5x + 4xy + 3x2 + -5y + 3y2)' equal to zero and attempt to solve: Simplifying -5x + 4xy + 3x2 + -5y + 3y2 = 0 Solving -5x + 4xy + 3x2 + -5y + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '5x' to each side of the equation. -5x + 4xy + 3x2 + -5y + 5x + 3y2 = 0 + 5x Reorder the terms: -5x + 5x + 4xy + 3x2 + -5y + 3y2 = 0 + 5x Combine like terms: -5x + 5x = 0 0 + 4xy + 3x2 + -5y + 3y2 = 0 + 5x 4xy + 3x2 + -5y + 3y2 = 0 + 5x Remove the zero: 4xy + 3x2 + -5y + 3y2 = 5x Add '-4xy' to each side of the equation. 4xy + 3x2 + -5y + -4xy + 3y2 = 5x + -4xy Reorder the terms: 4xy + -4xy + 3x2 + -5y + 3y2 = 5x + -4xy Combine like terms: 4xy + -4xy = 0 0 + 3x2 + -5y + 3y2 = 5x + -4xy 3x2 + -5y + 3y2 = 5x + -4xy Add '-3x2' to each side of the equation. 3x2 + -5y + -3x2 + 3y2 = 5x + -4xy + -3x2 Reorder the terms: 3x2 + -3x2 + -5y + 3y2 = 5x + -4xy + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + -5y + 3y2 = 5x + -4xy + -3x2 -5y + 3y2 = 5x + -4xy + -3x2 Add '5y' to each side of the equation. -5y + 5y + 3y2 = 5x + -4xy + -3x2 + 5y Combine like terms: -5y + 5y = 0 0 + 3y2 = 5x + -4xy + -3x2 + 5y 3y2 = 5x + -4xy + -3x2 + 5y Add '-3y2' to each side of the equation. 3y2 + -3y2 = 5x + -4xy + -3x2 + 5y + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = 5x + -4xy + -3x2 + 5y + -3y2 Simplifying 0 = 5x + -4xy + -3x2 + 5y + -3y2 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:

| log(3)/log(4) | | 12b^2-6b+0=0 | | 6(x-6)=48 | | 10x=3010 | | -5x(x-15)=-10x+20 | | X=45+-0.6y | | 6(6-x)=48 | | (6-x^2)/x^3 | | 3.1=7.1-0.8x | | 2-3(n+8)=95 | | 29-3-6=x | | 64/2(2*6 | | 22(x+3)+3(x+1)=24 | | 2(x-6)=4x+18 | | 5x*3/2=8 | | H=VWL | | 3y+2=4y-18+4y | | 5k^2-13k-6=0 | | 7y+4+12=-12 | | -8u+6(u-3)=-16 | | 2x=2x+70 | | -5(r+2)=-88 | | 2log(6x+7)=6 | | 20+30x=33+28x | | -5x+9=-5 | | 3x-0.35=3.45 | | 3/x-1=5/7 | | 21x=59x-40 | | 1/4^x-7=16 | | 6X+15Y=19 | | 4x(5/2) | | ln(4x-5)-ln(2x-5)=ln(2x+1) |

Equations solver categories