(2g^2+3x)dx+2xgdy=0

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Solution for (2g^2+3x)dx+2xgdy=0 equation: 


Simplifying
(2g2 + 3x) * dx + 2xgdy = 0

Reorder the terms for easier multiplication:
dx(2g2 + 3x) + 2xgdy = 0
(2g2 * dx + 3x * dx) + 2xgdy = 0
(2dg2x + 3dx2) + 2xgdy = 0

Reorder the terms:
2dgxy + 2dg2x + 3dx2 = 0

Solving
2dgxy + 2dg2x + 3dx2 = 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), 'dx'.
dx(2gy + 2g2 + 3x) = 0


Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve:

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(2gy + 2g2 + 3x)' equal to zero and attempt to solve:

Simplifying
2gy + 2g2 + 3x = 0

Solving
2gy + 2g2 + 3x = 0

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

Add '-2gy' to each side of the equation.
2gy + 2g2 + -2gy + 3x = 0 + -2gy

Reorder the terms:
2gy + -2gy + 2g2 + 3x = 0 + -2gy

Combine like terms: 2gy + -2gy = 0
0 + 2g2 + 3x = 0 + -2gy
2g2 + 3x = 0 + -2gy
Remove the zero:
2g2 + 3x = -2gy

Add '-2g2' to each side of the equation.
2g2 + -2g2 + 3x = -2gy + -2g2

Combine like terms: 2g2 + -2g2 = 0
0 + 3x = -2gy + -2g2
3x = -2gy + -2g2

Add '-3x' to each side of the equation.
3x + -3x = -2gy + -2g2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2gy + -2g2 + -3x

Simplifying
0 = -2gy + -2g2 + -3x

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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