3x(x+6y+5z)=

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Solution for 3x(x+6y+5z)= equation: 


Simplifying
3x(x + 6y + 5z) = 0
(x * 3x + 6y * 3x + 5z * 3x) = 0

Reorder the terms:
(18xy + 15xz + 3x2) = 0
(18xy + 15xz + 3x2) = 0

Solving
18xy + 15xz + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(6y + 5z + 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 '(6y + 5z + x)' equal to zero and attempt to solve:

Simplifying
6y + 5z + x = 0

Reorder the terms:
x + 6y + 5z = 0

Solving
x + 6y + 5z = 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 + 5z = 0 + -6y

Combine like terms: 6y + -6y = 0
x + 0 + 5z = 0 + -6y
x + 5z = 0 + -6y
Remove the zero:
x + 5z = -6y

Add '-5z' to each side of the equation.
x + 5z + -5z = -6y + -5z

Combine like terms: 5z + -5z = 0
x + 0 = -6y + -5z
x = -6y + -5z

Simplifying
x = -6y + -5z
Solution
x = {0, -6y + -5z}

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