(3x-1)dx+(4y+5)dy=0

Simple and best practice solution for (3x-1)dx+(4y+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 (3x-1)dx+(4y+5)dy=0 equation: 


Simplifying
(3x + -1) * dx + (4y + 5) * dy = 0

Reorder the terms:
(-1 + 3x) * dx + (4y + 5) * dy = 0

Reorder the terms for easier multiplication:
dx(-1 + 3x) + (4y + 5) * dy = 0
(-1 * dx + 3x * dx) + (4y + 5) * dy = 0
(-1dx + 3dx2) + (4y + 5) * dy = 0

Reorder the terms:
-1dx + 3dx2 + (5 + 4y) * dy = 0

Reorder the terms for easier multiplication:
-1dx + 3dx2 + dy(5 + 4y) = 0
-1dx + 3dx2 + (5 * dy + 4y * dy) = 0
-1dx + 3dx2 + (5dy + 4dy2) = 0

Solving
-1dx + 3dx2 + 5dy + 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), 'd'.
d(-1x + 3x2 + 5y + 4y2) = 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 '(-1x + 3x2 + 5y + 4y2)' equal to zero and attempt to solve:

Simplifying
-1x + 3x2 + 5y + 4y2 = 0

Solving
-1x + 3x2 + 5y + 4y2 = 0

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

Add 'x' to each side of the equation.
-1x + 3x2 + 5y + x + 4y2 = 0 + x

Reorder the terms:
-1x + x + 3x2 + 5y + 4y2 = 0 + x

Combine like terms: -1x + x = 0
0 + 3x2 + 5y + 4y2 = 0 + x
3x2 + 5y + 4y2 = 0 + x
Remove the zero:
3x2 + 5y + 4y2 = x

Add '-3x2' to each side of the equation.
3x2 + 5y + -3x2 + 4y2 = x + -3x2

Reorder the terms:
3x2 + -3x2 + 5y + 4y2 = x + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + 5y + 4y2 = x + -3x2
5y + 4y2 = x + -3x2

Add '-5y' to each side of the equation.
5y + -5y + 4y2 = x + -3x2 + -5y

Combine like terms: 5y + -5y = 0
0 + 4y2 = x + -3x2 + -5y
4y2 = x + -3x2 + -5y

Add '-4y2' to each side of the equation.
4y2 + -4y2 = x + -3x2 + -5y + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = x + -3x2 + -5y + -4y2

Simplifying
0 = x + -3x2 + -5y + -4y2

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:

| 6x+3y-6=12 | | f(x)=4x^2-6 | | -9h+1=6 | | 7x+4-3x=44 | | 4(n-2)-(7-3n)=6n | | 7x+-3x=44 | | 17x+13=360 | | 7x^2-42x+7=0 | | 3t(t+3)=0 | | 4x+2y-25=14 | | 2-30+22= | | 6+77x=33x+14 | | 3x+4.5=9.6 | | -4=8-6k | | -4x-5y+9z=18 | | 2x^2-x-3=187 | | x+2y+(-6)=7 | | x+3=95 | | 5p+4q=28 | | -5x+3-3x=-10x+10-x+5 | | x^4-4*x^3+7=0 | | 2x-bx=4 | | x-6=-29 | | 4x+6=-43-3x | | 5x+8=7x-13 | | -14x+12y=-18 | | Y=12x+12 | | (8-w/10)=3/5 | | 4x+7x=4+7 | | 12/7x-1/21x=x-4/3 | | 8/5=24/y | | 42=3e^4t |

Equations solver categories