12ax+3ay+15az=

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Solution for 12ax+3ay+15az= equation: 


Simplifying
12ax + 3ay + 15az = 0

Solving
12ax + 3ay + 15az = 0

Solving for variable 'a'.

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

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

Ignore the factor 3.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

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

Simplifying
4x + y + 5z = 0

Solving
4x + y + 5z = 0

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

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

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

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

Add '-1y' to each side of the equation.
y + -1y + 5z = -4x + -1y

Combine like terms: y + -1y = 0
0 + 5z = -4x + -1y
5z = -4x + -1y

Add '-5z' to each side of the equation.
5z + -5z = -4x + -1y + -5z

Combine like terms: 5z + -5z = 0
0 = -4x + -1y + -5z

Simplifying
0 = -4x + -1y + -5z

The solution to this equation could not be determined.

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

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