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Home » Divide by 2: \( h^3 + 3h^2 - 54 = 0 \) - Imagemakers

Divide by 2: \( h^3 + 3h^2 - 54 = 0 \) - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Subtract (iv) from (v):

📌 Substitute into (iv):

📌 6(2889) + b = 18 \Rightarrow 17334 + b = 18 \Rightarrow b = -17316

📌 Substitute $ a = 2889 $, $ b = -17316 $ into (i):

📌 7(2889) + 3(-17316) + c = 38 \Rightarrow 20223 - 51948 + c = 38 \Rightarrow c = 31725

📌 Now use (1):

📌 - 17316 + 31725 + d = 20 \Rightarrow (2889 - 17316) = -14427, \quad -14427 + 31725 = 17298

📌 \Rightarrow 17298 + d = 20 \Rightarrow d = -17278

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