2x(3x-5y-2z)=

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Solution for 2x(3x-5y-2z)= equation: 


Simplifying
2x(3x + -5y + -2z) = 0
(3x * 2x + -5y * 2x + -2z * 2x) = 0

Reorder the terms:
(-10xy + -4xz + 6x2) = 0
(-10xy + -4xz + 6x2) = 0

Solving
-10xy + -4xz + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5y + -2z + 3x) = 0

Ignore the factor 2.

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 '(-5y + -2z + 3x)' equal to zero and attempt to solve:

Simplifying
-5y + -2z + 3x = 0

Reorder the terms:
3x + -5y + -2z = 0

Solving
3x + -5y + -2z = 0

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

Add '5y' to each side of the equation.
3x + -5y + 5y + -2z = 0 + 5y

Combine like terms: -5y + 5y = 0
3x + 0 + -2z = 0 + 5y
3x + -2z = 0 + 5y
Remove the zero:
3x + -2z = 5y

Add '2z' to each side of the equation.
3x + -2z + 2z = 5y + 2z

Combine like terms: -2z + 2z = 0
3x + 0 = 5y + 2z
3x = 5y + 2z

Divide each side by '3'.
x = 1.666666667y + 0.6666666667z

Simplifying
x = 1.666666667y + 0.6666666667z
Solution
x = {0, 1.666666667y + 0.6666666667z}

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