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Simplifying 4y + 6yz = 0 Solving 4y + 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), '2y'. 2y(2 + 3z) = 0 Ignore the factor 2.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 '(2 + 3z)' equal to zero and attempt to solve: Simplifying 2 + 3z = 0 Solving 2 + 3z = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = 0 + -2 3z = 0 + -2 Combine like terms: 0 + -2 = -2 3z = -2 Add '-3z' to each side of the equation. 3z + -3z = -2 + -3z Combine like terms: 3z + -3z = 0 0 = -2 + -3z Simplifying 0 = -2 + -3z 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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