3x(5xy-6y+z)=0

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Solution for 3x(5xy-6y+z)=0 equation: 


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

Reorder the terms:
(-18xy + 3xz + 15x2y) = 0
(-18xy + 3xz + 15x2y) = 0

Solving
-18xy + 3xz + 15x2y = 0

Solving for variable 'x'.

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

Simplifying
-6y + z + 5xy = 0

Reorder the terms:
5xy + -6y + z = 0

Solving
5xy + -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.
5xy + -6y + 6y + z = 0 + 6y

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

Add '-1z' to each side of the equation.
5xy + z + -1z = 6y + -1z

Combine like terms: z + -1z = 0
5xy + 0 = 6y + -1z
5xy = 6y + -1z

Divide each side by '5y'.
x = 1.2 + -0.2y-1z

Simplifying
x = 1.2 + -0.2y-1z
Solution
x = {0, 1.2 + -0.2y-1z}

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