3ay-9az+18aw=

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Solution for 3ay-9az+18aw= equation:


Simplifying
3ay + -9az + 18aw = 0

Reorder the terms:
18aw + 3ay + -9az = 0

Solving
18aw + 3ay + -9az = 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(6w + y + -3z) = 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 '(6w + y + -3z)' equal to zero and attempt to solve: Simplifying 6w + y + -3z = 0 Solving 6w + y + -3z = 0 Move all terms containing a to the left, all other terms to the right. Add '-6w' to each side of the equation. 6w + y + -6w + -3z = 0 + -6w Reorder the terms: 6w + -6w + y + -3z = 0 + -6w Combine like terms: 6w + -6w = 0 0 + y + -3z = 0 + -6w y + -3z = 0 + -6w Remove the zero: y + -3z = -6w Add '-1y' to each side of the equation. y + -1y + -3z = -6w + -1y Combine like terms: y + -1y = 0 0 + -3z = -6w + -1y -3z = -6w + -1y Add '3z' to each side of the equation. -3z + 3z = -6w + -1y + 3z Combine like terms: -3z + 3z = 0 0 = -6w + -1y + 3z Simplifying 0 = -6w + -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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