2x(2x+3y+z)=

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


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

Reorder the terms:
(6xy + 2xz + 4x2) = 0
(6xy + 2xz + 4x2) = 0

Solving
6xy + 2xz + 4x2 = 0

Solving for variable 'x'.

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

Simplifying
3y + z + 2x = 0

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

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

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

Add '-1z' to each side of the equation.
2x + z + -1z = -3y + -1z

Combine like terms: z + -1z = 0
2x + 0 = -3y + -1z
2x = -3y + -1z

Divide each side by '2'.
x = -1.5y + -0.5z

Simplifying
x = -1.5y + -0.5z
Solution
x = {0, -1.5y + -0.5z}

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