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Simplifying (Z2 + 5)(2z2 + -6z + 5) = 0 Reorder the terms: (5 + Z2)(2z2 + -6z + 5) = 0 Reorder the terms: (5 + Z2)(5 + -6z + 2z2) = 0 Multiply (5 + Z2) * (5 + -6z + 2z2) (5(5 + -6z + 2z2) + Z2(5 + -6z + 2z2)) = 0 ((5 * 5 + -6z * 5 + 2z2 * 5) + Z2(5 + -6z + 2z2)) = 0 ((25 + -30z + 10z2) + Z2(5 + -6z + 2z2)) = 0 (25 + -30z + 10z2 + (5 * Z2 + -6z * Z2 + 2z2 * Z2)) = 0 (25 + -30z + 10z2 + (5Z2 + -6zZ2 + 2z2Z2)) = 0 Reorder the terms: (25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2) = 0 (25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2) = 0 Solving 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 5Z2 + -30z + -6zZ2 + 10z2 + -25 + 2z2Z2 = 0 + -25 Reorder the terms: 25 + -25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -25 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -25 Combine like terms: 0 + -25 = -25 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -25 Add '30z' to each side of the equation. 5Z2 + -30z + -6zZ2 + 10z2 + 30z + 2z2Z2 = -25 + 30z Reorder the terms: 5Z2 + -30z + 30z + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z Combine like terms: -30z + 30z = 0 5Z2 + 0 + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z 5Z2 + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z Add '-10z2' to each side of the equation. 5Z2 + -6zZ2 + 10z2 + -10z2 + 2z2Z2 = -25 + 30z + -10z2 Combine like terms: 10z2 + -10z2 = 0 5Z2 + -6zZ2 + 0 + 2z2Z2 = -25 + 30z + -10z2 5Z2 + -6zZ2 + 2z2Z2 = -25 + 30z + -10z2 Reorder the terms: 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z + -10z2 + 25 + -30z + 10z2 Reorder the terms: 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -25 + 25 + 30z + -30z + -10z2 + 10z2 Combine like terms: -25 + 25 = 0 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + 30z + -30z + -10z2 + 10z2 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 30z + -30z + -10z2 + 10z2 Combine like terms: 30z + -30z = 0 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -10z2 + 10z2 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -10z2 + 10z2 Combine like terms: -10z2 + 10z2 = 0 25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 The solution to this equation could not be determined.
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