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