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Simplifying 16x + -1(2z + 4yz) = 8xy Reorder the terms: 16x + -1(4yz + 2z) = 8xy 16x + (4yz * -1 + 2z * -1) = 8xy 16x + (-4yz + -2z) = 8xy Solving 16x + -4yz + -2z = 8xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8xy' to each side of the equation. 16x + -4yz + -8xy + -2z = 8xy + -8xy Reorder the terms: 16x + -8xy + -4yz + -2z = 8xy + -8xy Combine like terms: 8xy + -8xy = 0 16x + -8xy + -4yz + -2z = 0 Add '4yz' to each side of the equation. 16x + -8xy + -4yz + 4yz + -2z = 0 + 4yz Combine like terms: -4yz + 4yz = 0 16x + -8xy + 0 + -2z = 0 + 4yz 16x + -8xy + -2z = 0 + 4yz Remove the zero: 16x + -8xy + -2z = 4yz Add '2z' to each side of the equation. 16x + -8xy + -2z + 2z = 4yz + 2z Combine like terms: -2z + 2z = 0 16x + -8xy + 0 = 4yz + 2z 16x + -8xy = 4yz + 2z Reorder the terms: 16x + -8xy + -4yz + -2z = 4yz + -4yz + 2z + -2z Combine like terms: 4yz + -4yz = 0 16x + -8xy + -4yz + -2z = 0 + 2z + -2z 16x + -8xy + -4yz + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 16x + -8xy + -4yz + -2z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8x + -4xy + -2yz + -1z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8x + -4xy + -2yz + -1z)' equal to zero and attempt to solve: Simplifying 8x + -4xy + -2yz + -1z = 0 Solving 8x + -4xy + -2yz + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '2yz' to each side of the equation. 8x + -4xy + -2yz + 2yz + -1z = 0 + 2yz Combine like terms: -2yz + 2yz = 0 8x + -4xy + 0 + -1z = 0 + 2yz 8x + -4xy + -1z = 0 + 2yz Remove the zero: 8x + -4xy + -1z = 2yz Add 'z' to each side of the equation. 8x + -4xy + -1z + z = 2yz + z Combine like terms: -1z + z = 0 8x + -4xy + 0 = 2yz + z 8x + -4xy = 2yz + z 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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