12gx-6gy+24gz=

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Solution for 12gx-6gy+24gz= equation: 


Simplifying
12gx + -6gy + 24gz = 0

Solving
12gx + -6gy + 24gz = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '6g'.
6g(2x + -1y + 4z) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0

Subproblem 2
Set the factor '(2x + -1y + 4z)' equal to zero and attempt to solve:

Simplifying
2x + -1y + 4z = 0

Solving
2x + -1y + 4z = 0

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

Add '-2x' to each side of the equation.
2x + -1y + -2x + 4z = 0 + -2x

Reorder the terms:
2x + -2x + -1y + 4z = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + -1y + 4z = 0 + -2x
-1y + 4z = 0 + -2x
Remove the zero:
-1y + 4z = -2x

Add 'y' to each side of the equation.
-1y + y + 4z = -2x + y

Combine like terms: -1y + y = 0
0 + 4z = -2x + y
4z = -2x + y

Add '-4z' to each side of the equation.
4z + -4z = -2x + y + -4z

Combine like terms: 4z + -4z = 0
0 = -2x + y + -4z

Simplifying
0 = -2x + y + -4z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
g = {0}

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