x(2x-3z-2y)=0

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


Simplifying
x(2x + -3z + -2y) = 0

Reorder the terms:
x(2x + -2y + -3z) = 0
(2x * x + -2y * x + -3z * x) = 0

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

Solving
-2xy + -3xz + 2x2 = 0

Solving for variable 'x'.

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

Simplifying
-2y + -3z + 2x = 0

Reorder the terms:
2x + -2y + -3z = 0

Solving
2x + -2y + -3z = 0

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

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

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

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

Combine like terms: -3z + 3z = 0
2x + 0 = 2y + 3z
2x = 2y + 3z

Divide each side by '2'.
x = y + 1.5z

Simplifying
x = y + 1.5z
Solution
x = {0, y + 1.5z}

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