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Simplifying (5xyz + -4xy) + -1(6xyz + 12xy) = 0 Reorder the terms: (-4xy + 5xyz) + -1(6xyz + 12xy) = 0 Remove parenthesis around (-4xy + 5xyz) -4xy + 5xyz + -1(6xyz + 12xy) = 0 Reorder the terms: -4xy + 5xyz + -1(12xy + 6xyz) = 0 -4xy + 5xyz + (12xy * -1 + 6xyz * -1) = 0 -4xy + 5xyz + (-12xy + -6xyz) = 0 Reorder the terms: -4xy + -12xy + 5xyz + -6xyz = 0 Combine like terms: -4xy + -12xy = -16xy -16xy + 5xyz + -6xyz = 0 Combine like terms: 5xyz + -6xyz = -1xyz -16xy + -1xyz = 0 Solving -16xy + -1xyz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-1xy'. -1xy(16 + z) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(16 + z)' equal to zero and attempt to solve: Simplifying 16 + z = 0 Solving 16 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + z = 0 + -16 z = 0 + -16 Combine like terms: 0 + -16 = -16 z = -16 Add '-1z' to each side of the equation. z + -1z = -16 + -1z Combine like terms: z + -1z = 0 0 = -16 + -1z Simplifying 0 = -16 + -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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