3x(x+2y+4z)=

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Solution for 3x(x+2y+4z)= equation: 


Simplifying
3x(x + 2y + 4z) = 0
(x * 3x + 2y * 3x + 4z * 3x) = 0

Reorder the terms:
(6xy + 12xz + 3x2) = 0
(6xy + 12xz + 3x2) = 0

Solving
6xy + 12xz + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2y + 4z + x) = 0

Ignore the factor 3.

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 + 4z + x)' equal to zero and attempt to solve:

Simplifying
2y + 4z + x = 0

Reorder the terms:
x + 2y + 4z = 0

Solving
x + 2y + 4z = 0

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

Add '-2y' to each side of the equation.
x + 2y + -2y + 4z = 0 + -2y

Combine like terms: 2y + -2y = 0
x + 0 + 4z = 0 + -2y
x + 4z = 0 + -2y
Remove the zero:
x + 4z = -2y

Add '-4z' to each side of the equation.
x + 4z + -4z = -2y + -4z

Combine like terms: 4z + -4z = 0
x + 0 = -2y + -4z
x = -2y + -4z

Simplifying
x = -2y + -4z
Solution
x = {0, -2y + -4z}

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