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Simplifying (2z + -8)(n + -9) = 0 Reorder the terms: (-8 + 2z)(n + -9) = 0 Reorder the terms: (-8 + 2z)(-9 + n) = 0 Multiply (-8 + 2z) * (-9 + n) (-8(-9 + n) + 2z * (-9 + n)) = 0 ((-9 * -8 + n * -8) + 2z * (-9 + n)) = 0 ((72 + -8n) + 2z * (-9 + n)) = 0 (72 + -8n + (-9 * 2z + n * 2z)) = 0 Reorder the terms: (72 + -8n + (2nz + -18z)) = 0 (72 + -8n + (2nz + -18z)) = 0 (72 + -8n + 2nz + -18z) = 0 Solving 72 + -8n + 2nz + -18z = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -8n + 2nz + -72 + -18z = 0 + -72 Reorder the terms: 72 + -72 + -8n + 2nz + -18z = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -8n + 2nz + -18z = 0 + -72 -8n + 2nz + -18z = 0 + -72 Combine like terms: 0 + -72 = -72 -8n + 2nz + -18z = -72 Add '18z' to each side of the equation. -8n + 2nz + -18z + 18z = -72 + 18z Combine like terms: -18z + 18z = 0 -8n + 2nz + 0 = -72 + 18z -8n + 2nz = -72 + 18z Reorder the terms: 72 + -8n + 2nz + -18z = -72 + 18z + 72 + -18z Reorder the terms: 72 + -8n + 2nz + -18z = -72 + 72 + 18z + -18z Combine like terms: -72 + 72 = 0 72 + -8n + 2nz + -18z = 0 + 18z + -18z 72 + -8n + 2nz + -18z = 18z + -18z Combine like terms: 18z + -18z = 0 72 + -8n + 2nz + -18z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(36 + -4n + nz + -9z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(36 + -4n + nz + -9z)' equal to zero and attempt to solve: Simplifying 36 + -4n + nz + -9z = 0 Solving 36 + -4n + nz + -9z = 0 Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -4n + nz + -36 + -9z = 0 + -36 Reorder the terms: 36 + -36 + -4n + nz + -9z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4n + nz + -9z = 0 + -36 -4n + nz + -9z = 0 + -36 Combine like terms: 0 + -36 = -36 -4n + nz + -9z = -36 Add '9z' to each side of the equation. -4n + nz + -9z + 9z = -36 + 9z Combine like terms: -9z + 9z = 0 -4n + nz + 0 = -36 + 9z -4n + nz = -36 + 9z 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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