3x(x+5y+z)=

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Solution for 3x(x+5y+z)= equation: 


Simplifying
3x(x + 5y + z) = 0
(x * 3x + 5y * 3x + z * 3x) = 0

Reorder the terms:
(15xy + 3xz + 3x2) = 0
(15xy + 3xz + 3x2) = 0

Solving
15xy + 3xz + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(5y + z + 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 '(5y + z + x)' equal to zero and attempt to solve:

Simplifying
5y + z + x = 0

Reorder the terms:
x + 5y + z = 0

Solving
x + 5y + z = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y + z = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 + z = 0 + -5y
x + z = 0 + -5y
Remove the zero:
x + z = -5y

Add '-1z' to each side of the equation.
x + z + -1z = -5y + -1z

Combine like terms: z + -1z = 0
x + 0 = -5y + -1z
x = -5y + -1z

Simplifying
x = -5y + -1z
Solution
x = {0, -5y + -1z}

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