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Simplifying 16z + 2yz + 4y = 0 Reorder the terms: 4y + 2yz + 16z = 0 Solving 4y + 2yz + 16z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16z' to each side of the equation. 4y + 2yz + 16z + -16z = 0 + -16z Combine like terms: 16z + -16z = 0 4y + 2yz + 0 = 0 + -16z 4y + 2yz = 0 + -16z Remove the zero: 4y + 2yz = -16z Combine like terms: -16z + 16z = 0 4y + 2yz + 16z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2y + yz + 8z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2y + yz + 8z)' equal to zero and attempt to solve: Simplifying 2y + yz + 8z = 0 Solving 2y + yz + 8z = 0 Move all terms containing y to the left, all other terms to the right. Add '-8z' to each side of the equation. 2y + yz + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 2y + yz + 0 = 0 + -8z 2y + yz = 0 + -8z Remove the zero: 2y + yz = -8z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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