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Simplifying (2z + -6)(n + -2) = 0 Reorder the terms: (-6 + 2z)(n + -2) = 0 Reorder the terms: (-6 + 2z)(-2 + n) = 0 Multiply (-6 + 2z) * (-2 + n) (-6(-2 + n) + 2z * (-2 + n)) = 0 ((-2 * -6 + n * -6) + 2z * (-2 + n)) = 0 ((12 + -6n) + 2z * (-2 + n)) = 0 (12 + -6n + (-2 * 2z + n * 2z)) = 0 Reorder the terms: (12 + -6n + (2nz + -4z)) = 0 (12 + -6n + (2nz + -4z)) = 0 (12 + -6n + 2nz + -4z) = 0 Solving 12 + -6n + 2nz + -4z = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -6n + 2nz + -12 + -4z = 0 + -12 Reorder the terms: 12 + -12 + -6n + 2nz + -4z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6n + 2nz + -4z = 0 + -12 -6n + 2nz + -4z = 0 + -12 Combine like terms: 0 + -12 = -12 -6n + 2nz + -4z = -12 Add '4z' to each side of the equation. -6n + 2nz + -4z + 4z = -12 + 4z Combine like terms: -4z + 4z = 0 -6n + 2nz + 0 = -12 + 4z -6n + 2nz = -12 + 4z Reorder the terms: 12 + -6n + 2nz + -4z = -12 + 4z + 12 + -4z Reorder the terms: 12 + -6n + 2nz + -4z = -12 + 12 + 4z + -4z Combine like terms: -12 + 12 = 0 12 + -6n + 2nz + -4z = 0 + 4z + -4z 12 + -6n + 2nz + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 12 + -6n + 2nz + -4z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -3n + nz + -2z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -3n + nz + -2z)' equal to zero and attempt to solve: Simplifying 6 + -3n + nz + -2z = 0 Solving 6 + -3n + nz + -2z = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3n + nz + -6 + -2z = 0 + -6 Reorder the terms: 6 + -6 + -3n + nz + -2z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3n + nz + -2z = 0 + -6 -3n + nz + -2z = 0 + -6 Combine like terms: 0 + -6 = -6 -3n + nz + -2z = -6 Add '2z' to each side of the equation. -3n + nz + -2z + 2z = -6 + 2z Combine like terms: -2z + 2z = 0 -3n + nz + 0 = -6 + 2z -3n + nz = -6 + 2z 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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