(9*x)dx+(14*y)dy=0

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Solution for (9*x)dx+(14*y)dy=0 equation: 


Simplifying
(9x) * dx + (14y) * dy = 0

Remove parenthesis around (9x)
9x * dx + (14y) * dy = 0

Multiply x * dx
9dx2 + (14y) * dy = 0

Remove parenthesis around (14y)
9dx2 + 14y * dy = 0

Multiply y * dy
9dx2 + 14dy2 = 0

Solving
9dx2 + 14dy2 = 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(9x2 + 14y2) = 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 '(9x2 + 14y2)' equal to zero and attempt to solve:

Simplifying
9x2 + 14y2 = 0

Solving
9x2 + 14y2 = 0

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

Add '-9x2' to each side of the equation.
9x2 + -9x2 + 14y2 = 0 + -9x2

Combine like terms: 9x2 + -9x2 = 0
0 + 14y2 = 0 + -9x2
14y2 = 0 + -9x2
Remove the zero:
14y2 = -9x2

Add '-14y2' to each side of the equation.
14y2 + -14y2 = -9x2 + -14y2

Combine like terms: 14y2 + -14y2 = 0
0 = -9x2 + -14y2

Simplifying
0 = -9x2 + -14y2

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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