4x(x+6y+3z)=

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Solution for 4x(x+6y+3z)= equation: 


Simplifying
4x(x + 6y + 3z) = 0
(x * 4x + 6y * 4x + 3z * 4x) = 0

Reorder the terms:
(24xy + 12xz + 4x2) = 0
(24xy + 12xz + 4x2) = 0

Solving
24xy + 12xz + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(6y + 3z + 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 + 3z + x)' equal to zero and attempt to solve:

Simplifying
6y + 3z + x = 0

Reorder the terms:
x + 6y + 3z = 0

Solving
x + 6y + 3z = 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 + 3z = 0 + -6y

Combine like terms: 6y + -6y = 0
x + 0 + 3z = 0 + -6y
x + 3z = 0 + -6y
Remove the zero:
x + 3z = -6y

Add '-3z' to each side of the equation.
x + 3z + -3z = -6y + -3z

Combine like terms: 3z + -3z = 0
x + 0 = -6y + -3z
x = -6y + -3z

Simplifying
x = -6y + -3z
Solution
x = {0, -6y + -3z}

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