(3y+7)dy=(1-2x)dx

Simple and best practice solution for (3y+7)dy=(1-2x)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 (3y+7)dy=(1-2x)dx equation: 


Simplifying
(3y + 7) * dy = (1 + -2x) * dx

Reorder the terms:
(7 + 3y) * dy = (1 + -2x) * dx

Reorder the terms for easier multiplication:
dy(7 + 3y) = (1 + -2x) * dx
(7 * dy + 3y * dy) = (1 + -2x) * dx
(7dy + 3dy2) = (1 + -2x) * dx

Reorder the terms for easier multiplication:
7dy + 3dy2 = dx(1 + -2x)
7dy + 3dy2 = (1 * dx + -2x * dx)
7dy + 3dy2 = (1dx + -2dx2)

Solving
7dy + 3dy2 = 1dx + -2dx2

Solving for variable 'd'.

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

Add '-1dx' to each side of the equation.
7dy + -1dx + 3dy2 = 1dx + -1dx + -2dx2

Reorder the terms:
-1dx + 7dy + 3dy2 = 1dx + -1dx + -2dx2

Combine like terms: 1dx + -1dx = 0
-1dx + 7dy + 3dy2 = 0 + -2dx2
-1dx + 7dy + 3dy2 = -2dx2

Add '2dx2' to each side of the equation.
-1dx + 7dy + 2dx2 + 3dy2 = -2dx2 + 2dx2

Reorder the terms:
-1dx + 2dx2 + 7dy + 3dy2 = -2dx2 + 2dx2

Combine like terms: -2dx2 + 2dx2 = 0
-1dx + 2dx2 + 7dy + 3dy2 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-1x + 2x2 + 7y + 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 '(-1x + 2x2 + 7y + 3y2)' equal to zero and attempt to solve:

Simplifying
-1x + 2x2 + 7y + 3y2 = 0

Solving
-1x + 2x2 + 7y + 3y2 = 0

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

Add 'x' to each side of the equation.
-1x + 2x2 + 7y + x + 3y2 = 0 + x

Reorder the terms:
-1x + x + 2x2 + 7y + 3y2 = 0 + x

Combine like terms: -1x + x = 0
0 + 2x2 + 7y + 3y2 = 0 + x
2x2 + 7y + 3y2 = 0 + x
Remove the zero:
2x2 + 7y + 3y2 = x

Add '-2x2' to each side of the equation.
2x2 + 7y + -2x2 + 3y2 = x + -2x2

Reorder the terms:
2x2 + -2x2 + 7y + 3y2 = x + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + 7y + 3y2 = x + -2x2
7y + 3y2 = x + -2x2

Add '-7y' to each side of the equation.
7y + -7y + 3y2 = x + -2x2 + -7y

Combine like terms: 7y + -7y = 0
0 + 3y2 = x + -2x2 + -7y
3y2 = x + -2x2 + -7y

Add '-3y2' to each side of the equation.
3y2 + -3y2 = x + -2x2 + -7y + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 = x + -2x2 + -7y + -3y2

Simplifying
0 = x + -2x2 + -7y + -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:

| -0.8(x^2)+36x-202.5=0 | | x+(2x+14)=74 | | (22-2x)(15-2x)=260 | | (4+7)+9=4+(x+9) | | 8w=4480 | | 5-2lnx=2 | | 80/5600=x/7700 | | 3x/5-18x/5 | | 2(3x+2)A=100 | | 3x-16=-67 | | 7/8=k-11/24 | | 3x-y=74 | | 4(x-2)-12(1)=3(x-7) | | 6y=9+x | | 11x-33=99 | | 8(3n+w)=-6 | | x^2+2xy+y^2+3x-3y+4=0 | | 15x^2-10x-100=0 | | 9x+3=6x+3 | | 18+3x=2+5x | | x+iy*x-iy=1 | | 4/16=x/40 | | (2x+9)(2x-6)= | | 2.6*(0.2(5))=x | | g(5)=1 | | 2X-3(1)=-1 | | 8x-0.8(x^2)=0 | | 8T-0.8(T^2)=0 | | x-36+x=180 | | -8(x^2)+8x=0 | | 53=29-4(x-3) | | f(x+9)=x^2-4x+9 |

Equations solver categories