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Simplifying (z2 + 5z + 8)(z2 + 2z + 6) = 0 Reorder the terms: (8 + 5z + z2)(z2 + 2z + 6) = 0 Reorder the terms: (8 + 5z + z2)(6 + 2z + z2) = 0 Multiply (8 + 5z + z2) * (6 + 2z + z2) (8(6 + 2z + z2) + 5z * (6 + 2z + z2) + z2(6 + 2z + z2)) = 0 ((6 * 8 + 2z * 8 + z2 * 8) + 5z * (6 + 2z + z2) + z2(6 + 2z + z2)) = 0 ((48 + 16z + 8z2) + 5z * (6 + 2z + z2) + z2(6 + 2z + z2)) = 0 (48 + 16z + 8z2 + (6 * 5z + 2z * 5z + z2 * 5z) + z2(6 + 2z + z2)) = 0 (48 + 16z + 8z2 + (30z + 10z2 + 5z3) + z2(6 + 2z + z2)) = 0 (48 + 16z + 8z2 + 30z + 10z2 + 5z3 + (6 * z2 + 2z * z2 + z2 * z2)) = 0 (48 + 16z + 8z2 + 30z + 10z2 + 5z3 + (6z2 + 2z3 + z4)) = 0 Reorder the terms: (48 + 16z + 30z + 8z2 + 10z2 + 6z2 + 5z3 + 2z3 + z4) = 0 Combine like terms: 16z + 30z = 46z (48 + 46z + 8z2 + 10z2 + 6z2 + 5z3 + 2z3 + z4) = 0 Combine like terms: 8z2 + 10z2 = 18z2 (48 + 46z + 18z2 + 6z2 + 5z3 + 2z3 + z4) = 0 Combine like terms: 18z2 + 6z2 = 24z2 (48 + 46z + 24z2 + 5z3 + 2z3 + z4) = 0 Combine like terms: 5z3 + 2z3 = 7z3 (48 + 46z + 24z2 + 7z3 + z4) = 0 Solving 48 + 46z + 24z2 + 7z3 + z4 = 0 Solving for variable 'z'. The solution to this equation could not be determined.
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