9x(4y-3x+8z)=

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Solution for 9x(4y-3x+8z)= equation: 


Simplifying
9x(4y + -3x + 8z) = 0

Reorder the terms:
9x(-3x + 4y + 8z) = 0
(-3x * 9x + 4y * 9x + 8z * 9x) = 0

Reorder the terms:
(36xy + 72xz + -27x2) = 0
(36xy + 72xz + -27x2) = 0

Solving
36xy + 72xz + -27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(4y + 8z + -3x) = 0

Ignore the factor 9.

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 '(4y + 8z + -3x)' equal to zero and attempt to solve:

Simplifying
4y + 8z + -3x = 0

Reorder the terms:
-3x + 4y + 8z = 0

Solving
-3x + 4y + 8z = 0

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

Add '-4y' to each side of the equation.
-3x + 4y + -4y + 8z = 0 + -4y

Combine like terms: 4y + -4y = 0
-3x + 0 + 8z = 0 + -4y
-3x + 8z = 0 + -4y
Remove the zero:
-3x + 8z = -4y

Add '-8z' to each side of the equation.
-3x + 8z + -8z = -4y + -8z

Combine like terms: 8z + -8z = 0
-3x + 0 = -4y + -8z
-3x = -4y + -8z

Divide each side by '-3'.
x = 1.333333333y + 2.666666667z

Simplifying
x = 1.333333333y + 2.666666667z
Solution
x = {0, 1.333333333y + 2.666666667z}

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