zac=gay

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Solution for zac=gay equation:


Simplifying
zac = gay

Solving
acz = agy

Solving for variable 'a'.

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

Add '-1agy' to each side of the equation.
acz + -1agy = agy + -1agy

Combine like terms: agy + -1agy = 0
acz + -1agy = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(cz + -1gy) = 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 '(cz + -1gy)' equal to zero and attempt to solve: Simplifying cz + -1gy = 0 Solving cz + -1gy = 0 Move all terms containing a to the left, all other terms to the right. Add '-1cz' to each side of the equation. cz + -1cz + -1gy = 0 + -1cz Combine like terms: cz + -1cz = 0 0 + -1gy = 0 + -1cz -1gy = 0 + -1cz Remove the zero: -1gy = -1cz Add 'gy' to each side of the equation. -1gy + gy = -1cz + gy Combine like terms: -1gy + gy = 0 0 = -1cz + gy Simplifying 0 = -1cz + gy 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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