2y^2+(3Xy-y^2)=0

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Solution for 2y^2+(3Xy-y^2)=0 equation:


Simplifying
2y2 + (3Xy + -1y2) = 0

Remove parenthesis around (3yX + -1y2)
2y2 + 3yX + -1y2 = 0

Reorder the terms:
3yX + 2y2 + -1y2 = 0

Combine like terms: 2y2 + -1y2 = 1y2
3yX + 1y2 = 0

Solving
3yX + 1y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(3X + y) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 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 y 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 Simplifying y = -3X

Solution

y = {0, -3X}

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