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Simplifying (5z + 2)(4 + -1Z) = 0 Reorder the terms: (2 + 5z)(4 + -1Z) = 0 Multiply (2 + 5z) * (4 + -1Z) (2(4 + -1Z) + 5z * (4 + -1Z)) = 0 ((4 * 2 + -1Z * 2) + 5z * (4 + -1Z)) = 0 ((8 + -2Z) + 5z * (4 + -1Z)) = 0 (8 + -2Z + (4 * 5z + -1Z * 5z)) = 0 (8 + -2Z + (20z + -5zZ)) = 0 (8 + -2Z + 20z + -5zZ) = 0 Solving 8 + -2Z + 20z + -5zZ = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2Z + 20z + -8 + -5zZ = 0 + -8 Reorder the terms: 8 + -8 + -2Z + 20z + -5zZ = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2Z + 20z + -5zZ = 0 + -8 -2Z + 20z + -5zZ = 0 + -8 Combine like terms: 0 + -8 = -8 -2Z + 20z + -5zZ = -8 Add '-20z' to each side of the equation. -2Z + 20z + -20z + -5zZ = -8 + -20z Combine like terms: 20z + -20z = 0 -2Z + 0 + -5zZ = -8 + -20z -2Z + -5zZ = -8 + -20z Reorder the terms: 8 + -2Z + 20z + -5zZ = -8 + -20z + 8 + 20z Reorder the terms: 8 + -2Z + 20z + -5zZ = -8 + 8 + -20z + 20z Combine like terms: -8 + 8 = 0 8 + -2Z + 20z + -5zZ = 0 + -20z + 20z 8 + -2Z + 20z + -5zZ = -20z + 20z Combine like terms: -20z + 20z = 0 8 + -2Z + 20z + -5zZ = 0 The solution to this equation could not be determined.
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