6x(x+6y+z)=

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Solution for 6x(x+6y+z)= equation: 


Simplifying
6x(x + 6y + z) = 0
(x * 6x + 6y * 6x + z * 6x) = 0

Reorder the terms:
(36xy + 6xz + 6x2) = 0
(36xy + 6xz + 6x2) = 0

Solving
36xy + 6xz + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(6y + z + x) = 0

Ignore the factor 6.

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 '(6y + z + x)' equal to zero and attempt to solve:

Simplifying
6y + z + x = 0

Reorder the terms:
x + 6y + z = 0

Solving
x + 6y + z = 0

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

Add '-6y' to each side of the equation.
x + 6y + -6y + z = 0 + -6y

Combine like terms: 6y + -6y = 0
x + 0 + z = 0 + -6y
x + z = 0 + -6y
Remove the zero:
x + z = -6y

Add '-1z' to each side of the equation.
x + z + -1z = -6y + -1z

Combine like terms: z + -1z = 0
x + 0 = -6y + -1z
x = -6y + -1z

Simplifying
x = -6y + -1z
Solution
x = {0, -6y + -1z}

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