4ax+6ay+8az=0

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Solution for 4ax+6ay+8az=0 equation: 


Simplifying
4ax + 6ay + 8az = 0

Solving
4ax + 6ay + 8az = 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), '2a'.
2a(2x + 3y + 4z) = 0

Ignore the factor 2.

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 '(2x + 3y + 4z)' equal to zero and attempt to solve:

Simplifying
2x + 3y + 4z = 0

Solving
2x + 3y + 4z = 0

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

Add '-2x' to each side of the equation.
2x + 3y + -2x + 4z = 0 + -2x

Reorder the terms:
2x + -2x + 3y + 4z = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + 3y + 4z = 0 + -2x
3y + 4z = 0 + -2x
Remove the zero:
3y + 4z = -2x

Add '-3y' to each side of the equation.
3y + -3y + 4z = -2x + -3y

Combine like terms: 3y + -3y = 0
0 + 4z = -2x + -3y
4z = -2x + -3y

Add '-4z' to each side of the equation.
4z + -4z = -2x + -3y + -4z

Combine like terms: 4z + -4z = 0
0 = -2x + -3y + -4z

Simplifying
0 = -2x + -3y + -4z

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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