3x^2+2xy=0

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Solution for 3x^2+2xy=0 equation:


Simplifying
3x2 + 2xy = 0

Reorder the terms:
2xy + 3x2 = 0

Solving
2xy + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2y + 3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2y + 3x)' equal to zero and attempt to solve: Simplifying 2y + 3x = 0 Reorder the terms: 3x + 2y = 0 Solving 3x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 0 + -2y 3x = 0 + -2y Remove the zero: 3x = -2y Divide each side by '3'. x = -0.6666666667y Simplifying x = -0.6666666667y

Solution

x = {0, -0.6666666667y}

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