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Simplifying 3y + -6zy + -9y = 0 Reorder the terms: 3y + -9y + -6yz = 0 Combine like terms: 3y + -9y = -6y -6y + -6yz = 0 Solving -6y + -6yz = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-6y'. -6y(1 + z) = 0 Ignore the factor -6.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(1 + z)' equal to zero and attempt to solve: Simplifying 1 + z = 0 Solving 1 + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z = 0 + -1 z = 0 + -1 Combine like terms: 0 + -1 = -1 z = -1 Add '-1z' to each side of the equation. z + -1z = -1 + -1z Combine like terms: z + -1z = 0 0 = -1 + -1z Simplifying 0 = -1 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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