4X(X+6Y+Z)=

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Solution for 4X(X+6Y+Z)= equation: 


Simplifying
4X(X + 6Y + Z) = 0
(X * 4X + 6Y * 4X + Z * 4X) = 0

Reorder the terms:
(24XY + 4XZ + 4X2) = 0
(24XY + 4XZ + 4X2) = 0

Solving
24XY + 4XZ + 4X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4X'.
4X(6Y + Z + X) = 0

Ignore the factor 4.

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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