(15x+11y)dx+(5y+9x)dy=0

Simple and best practice solution for (15x+11y)dx+(5y+9x)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 (15x+11y)dx+(5y+9x)dy=0 equation: 


Simplifying
(15x + 11y) * dx + (5y + 9x) * dy = 0

Reorder the terms for easier multiplication:
dx(15x + 11y) + (5y + 9x) * dy = 0
(15x * dx + 11y * dx) + (5y + 9x) * dy = 0

Reorder the terms:
(11dxy + 15dx2) + (5y + 9x) * dy = 0
(11dxy + 15dx2) + (5y + 9x) * dy = 0

Reorder the terms:
11dxy + 15dx2 + (9x + 5y) * dy = 0

Reorder the terms for easier multiplication:
11dxy + 15dx2 + dy(9x + 5y) = 0
11dxy + 15dx2 + (9x * dy + 5y * dy) = 0
11dxy + 15dx2 + (9dxy + 5dy2) = 0

Reorder the terms:
11dxy + 9dxy + 15dx2 + 5dy2 = 0

Combine like terms: 11dxy + 9dxy = 20dxy
20dxy + 15dx2 + 5dy2 = 0

Solving
20dxy + 15dx2 + 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), '5d'.
5d(4xy + 3x2 + y2) = 0

Factor a trinomial.
5d((3x + y)(x + y)) = 0

Ignore the factor 5.

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 '(3x + y)' equal to zero and attempt to solve:

Simplifying
3x + y = 0

Solving
3x + y = 0

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

Add '-3x' to each side of the equation.
3x + -3x + y = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + y = 0 + -3x
y = 0 + -3x
Remove the zero:
y = -3x

Add '-1y' to each side of the equation.
y + -1y = -3x + -1y

Combine like terms: y + -1y = 0
0 = -3x + -1y

Simplifying
0 = -3x + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(x + y)' equal to zero and attempt to solve:

Simplifying
x + y = 0

Solving
x + y = 0

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

Add '-1x' to each side of the equation.
x + -1x + y = 0 + -1x

Combine like terms: x + -1x = 0
0 + y = 0 + -1x
y = 0 + -1x
Remove the zero:
y = -1x

Add '-1y' to each side of the equation.
y + -1y = -1x + -1y

Combine like terms: y + -1y = 0
0 = -1x + -1y

Simplifying
0 = -1x + -1y

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:

| 12x^2-280x+1200=0 | | 27x^2-33x+10=0 | | (-6b+7)-(5b-3)= | | 4.4x-18.66=5.1 | | 80=6-7 | | 3(x-1.7)=9.3 | | 4(y+5)=5(y-6) | | -32+17=-3x+8X | | -6x^2-x+1= | | 39/z=15/6 | | -32+17=-3x+18X | | Q^2+q-6=0 | | 3x-2y=44 | | -(5-9)-7= | | 21-8x=-5x | | (x^3-8x)/4 | | 4.9+w=-9 | | 14x+2y=96 | | 2a+11=31 | | 4m-15=18 | | 1.25v+1.12=8.62 | | 13x-29y=2 | | 32x^5-108x=0 | | x+(5x-72)=2x | | -12x^2+4x+5=0 | | x+(5-72)=2x | | 32x=26.7 | | -27x^2-21x-4=0 | | 3x-11=-3x+7 | | 2t-6=3t+21 | | 6(8-x)=90 | | -3(3-3r)+7(3r+7)=-20 |

Equations solver categories