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

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


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

Reorder the terms:
(9xy + -12xz + -18x2) = 0
(9xy + -12xz + -18x2) = 0

Solving
9xy + -12xz + -18x2 = 0

Solving for variable 'x'.

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

Simplifying
3y + -4z + -6x = 0

Reorder the terms:
-6x + 3y + -4z = 0

Solving
-6x + 3y + -4z = 0

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

Add '-3y' to each side of the equation.
-6x + 3y + -3y + -4z = 0 + -3y

Combine like terms: 3y + -3y = 0
-6x + 0 + -4z = 0 + -3y
-6x + -4z = 0 + -3y
Remove the zero:
-6x + -4z = -3y

Add '4z' to each side of the equation.
-6x + -4z + 4z = -3y + 4z

Combine like terms: -4z + 4z = 0
-6x + 0 = -3y + 4z
-6x = -3y + 4z

Divide each side by '-6'.
x = 0.5y + -0.6666666667z

Simplifying
x = 0.5y + -0.6666666667z
Solution
x = {0, 0.5y + -0.6666666667z}

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