(9x)dx-(7x+18y)dy=0

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Solution for (9x)dx-(7x+18y)dy=0 equation: 


Simplifying
(9x) * dx + -1(7x + 18y) * dy = 0

Remove parenthesis around (9x)
9x * dx + -1(7x + 18y) * dy = 0

Multiply x * dx
9dx2 + -1(7x + 18y) * dy = 0

Reorder the terms for easier multiplication:
9dx2 + -1dy(7x + 18y) = 0
9dx2 + (7x * -1dy + 18y * -1dy) = 0
9dx2 + (-7dxy + -18dy2) = 0

Reorder the terms:
-7dxy + 9dx2 + -18dy2 = 0

Solving
-7dxy + 9dx2 + -18dy2 = 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(-7xy + 9x2 + -18y2) = 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 '(-7xy + 9x2 + -18y2)' equal to zero and attempt to solve:

Simplifying
-7xy + 9x2 + -18y2 = 0

Solving
-7xy + 9x2 + -18y2 = 0

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

Add '7xy' to each side of the equation.
-7xy + 9x2 + 7xy + -18y2 = 0 + 7xy

Reorder the terms:
-7xy + 7xy + 9x2 + -18y2 = 0 + 7xy

Combine like terms: -7xy + 7xy = 0
0 + 9x2 + -18y2 = 0 + 7xy
9x2 + -18y2 = 0 + 7xy
Remove the zero:
9x2 + -18y2 = 7xy

Add '-9x2' to each side of the equation.
9x2 + -9x2 + -18y2 = 7xy + -9x2

Combine like terms: 9x2 + -9x2 = 0
0 + -18y2 = 7xy + -9x2
-18y2 = 7xy + -9x2

Add '18y2' to each side of the equation.
-18y2 + 18y2 = 7xy + -9x2 + 18y2

Combine like terms: -18y2 + 18y2 = 0
0 = 7xy + -9x2 + 18y2

Simplifying
0 = 7xy + -9x2 + 18y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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