12wx-9wy-15wz=

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Solution for 12wx-9wy-15wz= equation: 


Simplifying
12wx + -9wy + -15wz = 0

Solving
12wx + -9wy + -15wz = 0

Solving for variable 'w'.

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

Factor out the Greatest Common Factor (GCF), '3w'.
3w(4x + -3y + -5z) = 0

Ignore the factor 3.

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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(4x + -3y + -5z)' equal to zero and attempt to solve:

Simplifying
4x + -3y + -5z = 0

Solving
4x + -3y + -5z = 0

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

Add '-4x' to each side of the equation.
4x + -3y + -4x + -5z = 0 + -4x

Reorder the terms:
4x + -4x + -3y + -5z = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + -3y + -5z = 0 + -4x
-3y + -5z = 0 + -4x
Remove the zero:
-3y + -5z = -4x

Add '3y' to each side of the equation.
-3y + 3y + -5z = -4x + 3y

Combine like terms: -3y + 3y = 0
0 + -5z = -4x + 3y
-5z = -4x + 3y

Add '5z' to each side of the equation.
-5z + 5z = -4x + 3y + 5z

Combine like terms: -5z + 5z = 0
0 = -4x + 3y + 5z

Simplifying
0 = -4x + 3y + 5z

The solution to this equation could not be determined.

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

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