x(2x+3y)=0

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Solution for x(2x+3y)=0 equation: 


Simplifying
x(2x + 3y) = 0
(2x * x + 3y * x) = 0

Reorder the terms:
(3xy + 2x2) = 0
(3xy + 2x2) = 0

Solving
3xy + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3y + 2x) = 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 '(3y + 2x)' equal to zero and attempt to solve:

Simplifying
3y + 2x = 0

Reorder the terms:
2x + 3y = 0

Solving
2x + 3y = 0

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

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

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

Divide each side by '2'.
x = -1.5y

Simplifying
x = -1.5y
Solution
x = {0, -1.5y}

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