4ax+ay+3az=0

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Solution for 4ax+ay+3az=0 equation:


Simplifying
4ax + ay + 3az = 0

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

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 + 3z)' equal to zero and attempt to solve: Simplifying 4x + y + 3z = 0 Solving 4x + y + 3z = 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 + 3z = 0 + -4x Reorder the terms: 4x + -4x + y + 3z = 0 + -4x Combine like terms: 4x + -4x = 0 0 + y + 3z = 0 + -4x y + 3z = 0 + -4x Remove the zero: y + 3z = -4x Add '-1y' to each side of the equation. y + -1y + 3z = -4x + -1y Combine like terms: y + -1y = 0 0 + 3z = -4x + -1y 3z = -4x + -1y Add '-3z' to each side of the equation. 3z + -3z = -4x + -1y + -3z Combine like terms: 3z + -3z = 0 0 = -4x + -1y + -3z Simplifying 0 = -4x + -1y + -3z 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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