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Simplifying 5z + 2yz = 2z + 3y + -4yz Reorder the terms: 2yz + 5z = 2z + 3y + -4yz Reorder the terms: 2yz + 5z = 3y + -4yz + 2z Solving 2yz + 5z = 3y + -4yz + 2z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 2yz + -3y + 5z = 3y + -4yz + -3y + 2z Reorder the terms: -3y + 2yz + 5z = 3y + -4yz + -3y + 2z Reorder the terms: -3y + 2yz + 5z = 3y + -3y + -4yz + 2z Combine like terms: 3y + -3y = 0 -3y + 2yz + 5z = 0 + -4yz + 2z -3y + 2yz + 5z = -4yz + 2z Add '4yz' to each side of the equation. -3y + 2yz + 4yz + 5z = -4yz + 4yz + 2z Combine like terms: 2yz + 4yz = 6yz -3y + 6yz + 5z = -4yz + 4yz + 2z Combine like terms: -4yz + 4yz = 0 -3y + 6yz + 5z = 0 + 2z -3y + 6yz + 5z = 2z Add '-5z' to each side of the equation. -3y + 6yz + 5z + -5z = 2z + -5z Combine like terms: 5z + -5z = 0 -3y + 6yz + 0 = 2z + -5z -3y + 6yz = 2z + -5z Combine like terms: 2z + -5z = -3z -3y + 6yz = -3z Combine like terms: -3z + 3z = 0 -3y + 6yz + 3z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1y + 2yz + z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1y + 2yz + z)' equal to zero and attempt to solve: Simplifying -1y + 2yz + z = 0 Solving -1y + 2yz + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. -1y + 2yz + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 -1y + 2yz + 0 = 0 + -1z -1y + 2yz = 0 + -1z Remove the zero: -1y + 2yz = -1z 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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