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Home » Expand and simplify: \(150 + 30x + 20x + 4x^2 = 286\). - Abu Waleed Tea

Expand and simplify: \(150 + 30x + 20x + 4x^2 = 286\). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Subtract first from second: (4a + 2b + c) − (a + b + c) = 1.8 − 1.2 → 3a + b = 0.6

📌 Subtract second from third: (9a + 3b + c) − (4a + 2b + c) = 2.5 − 1.8 → 5a + b = 0.7

📌 Now subtract: (5a + b) − (3a + b) = 0.7 − 0.6 → 2a = 0.1 → a = 0.05

📌 Then 3(0.05) + b = 0.6 → 0.15 + b = 0.6 → b = 0.45

📌 Then a + b + c = 1.2 → 0.05 + 0.45 + c = 1.2 → c = 0.7

📌 So aₙ = 0.05n² + 0.45n + 0.7

📌 a₄ = 0.05(16) + 0.45(4) + 0.7 = 0.8 + 1.8 + 0.7 = <<0.8+1.8+0.7=3.3>>3.3 meters

📌 Total retreat after 4 years = sum of first 4 terms:

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