4ydx+(3x+2)dy=0

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Solution for 4ydx+(3x+2)dy=0 equation:


Simplifying
4ydx + (3x + 2) * dy = 0

Reorder the terms:
4dxy + (2 + 3x) * dy = 0

Reorder the terms for easier multiplication:
4dxy + dy(2 + 3x) = 0
4dxy + (2 * dy + 3x * dy) = 0

Reorder the terms:
4dxy + (3dxy + 2dy) = 0
4dxy + (3dxy + 2dy) = 0

Combine like terms: 4dxy + 3dxy = 7dxy
7dxy + 2dy = 0

Solving
7dxy + 2dy = 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), 'dy'.
dy(7x + 2) = 0

Subproblem 1

Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(7x + 2)' equal to zero and attempt to solve: Simplifying 7x + 2 = 0 Reorder the terms: 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Add '-7x' to each side of the equation. 7x + -7x = -2 + -7x Combine like terms: 7x + -7x = 0 0 = -2 + -7x Simplifying 0 = -2 + -7x 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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